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Volumn 1, Issue C, 2001, Pages 899-939

Chapter 21 Aspects of the isometric theory of Banach spaces

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EID: 0742266716     PISSN: 18745849     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1874-5849(01)80023-1     Document Type: Chapter
Times cited : (35)

References (136)
  • 1
    • 51249175183 scopus 로고
    • Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces
    • Aharoni I., Maurey B., and Mityagin B.S. Uniform embeddings of metric spaces and of Banach spaces into Hilbert spaces. Israel J. Math. 52 (1985) 251-265
    • (1985) Israel J. Math. , vol.52 , pp. 251-265
    • Aharoni, I.1    Maurey, B.2    Mityagin, B.S.3
  • 2
    • 77956784378 scopus 로고
    • Potential operators and equimeasurability
    • Al-Husaini A.L. Potential operators and equimeasurability. Pacific J. Math. 76 (1978) 1-7
    • (1978) Pacific J. Math. , vol.76 , pp. 1-7
    • Al-Husaini, A.L.1
  • 5
    • 0001642631 scopus 로고
    • Some remarks on the geometry of convex sets
    • Geometric Aspects of Functional Analysis. Lindenstrauss J., and Milman V.D. (Eds), Springer, Heidelberg
    • Ball K. Some remarks on the geometry of convex sets. In: Lindenstrauss J., and Milman V.D. (Eds). Geometric Aspects of Functional Analysis. Lecture Notes in Math. 1317 (1988), Springer, Heidelberg 224-231
    • (1988) Lecture Notes in Math. 1317 , pp. 224-231
    • Ball, K.1
  • 6
    • 22444452329 scopus 로고    scopus 로고
    • A short solution to the Busemann-Petty problem
    • Barthe F., Fradelizi M., and Maurey B. A short solution to the Busemann-Petty problem. Positivity 3 (1999) 95-100
    • (1999) Positivity , vol.3 , pp. 95-100
    • Barthe, F.1    Fradelizi, M.2    Maurey, B.3
  • 8
    • 0000360790 scopus 로고
    • A class of convex bodies
    • Bolker E.D. A class of convex bodies. Trans. Amer. Math. Soc. 145 (1969) 323-345
    • (1969) Trans. Amer. Math. Soc. , vol.145 , pp. 323-345
    • Bolker, E.D.1
  • 9
    • 0003373303 scopus 로고
    • On the Busemann-Petty problem for perturbations of the ball
    • Bourgain J. On the Busemann-Petty problem for perturbations of the ball. Geom. Funct. Anal. 1 (1991) 1-13
    • (1991) Geom. Funct. Anal. , vol.1 , pp. 1-13
    • Bourgain, J.1
  • 10
    • 51249175899 scopus 로고
    • Distribution of points on spheres and approximation by zonotopes
    • Bourgain J., and Lindenstrauss J. Distribution of points on spheres and approximation by zonotopes. Israel J.Math. 64 (1988) 25-31
    • (1988) Israel J.Math. , vol.64 , pp. 25-31
    • Bourgain, J.1    Lindenstrauss, J.2
  • 11
    • 21144479557 scopus 로고
    • Approximating the ball by a Minkowski sum of segments with equal length
    • Bourgain J., and Lindenstrauss J. Approximating the ball by a Minkowski sum of segments with equal length. Discr. Comp. Geom. 9 (1993) 131-144
    • (1993) Discr. Comp. Geom. , vol.9 , pp. 131-144
    • Bourgain, J.1    Lindenstrauss, J.2
  • 14
    • 0032221691 scopus 로고    scopus 로고
    • Finite sets of piecewise linear inequalities do not characterize zonoids
    • Burger M. Finite sets of piecewise linear inequalities do not characterize zonoids. Arch. Math. (Basel) 70 (1998) 160-168
    • (1998) Arch. Math. (Basel) , vol.70 , pp. 160-168
    • Burger, M.1
  • 15
    • 0001130456 scopus 로고
    • Boundary value problems and sharp inequalities for martingale transforms
    • Burkholder D. Boundary value problems and sharp inequalities for martingale transforms. Ann. Probab. 12 (1984) 647-702
    • (1984) Ann. Probab. , vol.12 , pp. 647-702
    • Burkholder, D.1
  • 16
    • 0001775494 scopus 로고
    • Problems on convex bodies
    • Busemann H., and Petty CM. Problems on convex bodies. Math. Scand. 4 (1956) 88-94
    • (1956) Math. Scand. , vol.4 , pp. 88-94
    • Busemann, H.1    Petty, CM.2
  • 17
    • 51249165505 scopus 로고
    • On the isometries of the Lorentz function spaces
    • Carothers N.L., Haydon R., and Lin P.K. On the isometries of the Lorentz function spaces. Israel J. Math. 84 (1993) 265-287
    • (1993) Israel J. Math. , vol.84 , pp. 265-287
    • Carothers, N.L.1    Haydon, R.2    Lin, P.K.3
  • 19
    • 40649097806 scopus 로고    scopus 로고
    • Operator ideals
    • Johnson W.B., and Lindenstrauss J. (Eds), Elsevier, Amsterdam
    • Diestel J., Jarchow H., and Pietsch A. Operator ideals. In: Johnson W.B., and Lindenstrauss J. (Eds). Handbook of the Geometry of Banach Spaces Vol. 1 (2001), Elsevier, Amsterdam 437-496
    • (2001) Handbook of the Geometry of Banach Spaces , vol.1 , pp. 437-496
    • Diestel, J.1    Jarchow, H.2    Pietsch, A.3
  • 20
    • 0013517055 scopus 로고
    • The Fourier transform of order statistics with applications to Lorentz spaces
    • Dilworth S.J., and Koldobsky A. The Fourier transform of order statistics with applications to Lorentz spaces. Israel J. Math. 92 (1995) 411-425
    • (1995) Israel J. Math. , vol.92 , pp. 411-425
    • Dilworth, S.J.1    Koldobsky, A.2
  • 22
    • 0039441340 scopus 로고
    • On the projections of isotropic distributions
    • Eaton M. On the projections of isotropic distributions. Ann. Statist. 9 (1981) 391-400
    • (1981) Ann. Statist. , vol.9 , pp. 391-400
    • Eaton, M.1
  • 23
    • 0013165440 scopus 로고
    • A representation of the symmetric bivariate Cauchy distributions
    • Ferguson T.S. A representation of the symmetric bivariate Cauchy distributions. Ann. Math. Statist. 33 (1962) 1256-1266
    • (1962) Ann. Math. Statist. , vol.33 , pp. 1256-1266
    • Ferguson, T.S.1
  • 24
    • 0002649030 scopus 로고
    • The dimension of almost spherical sections of convex bodies
    • Figiel T., Lindenstrauss J., and Milman V.D. The dimension of almost spherical sections of convex bodies. Acta Math. 129 (1977) 53-94
    • (1977) Acta Math. , vol.129 , pp. 53-94
    • Figiel, T.1    Lindenstrauss, J.2    Milman, V.D.3
  • 26
    • 0040167689 scopus 로고
    • Sur la définition axiomatique d'une classe d'espaces vectoriel distances applicables vectoriellement sur l'espaces de Hilbert
    • Fréchet M. Sur la définition axiomatique d'une classe d'espaces vectoriel distances applicables vectoriellement sur l'espaces de Hilbert. Ann. of Math. 36 (1935) 705-718
    • (1935) Ann. of Math. , vol.36 , pp. 705-718
    • Fréchet, M.1
  • 27
    • 0001869895 scopus 로고
    • Intersection bodies and the Busemann-Petty problem
    • Gardner R.J. Intersection bodies and the Busemann-Petty problem. Trans. Amer. Math. Soc. 342 (1994) 435-445
    • (1994) Trans. Amer. Math. Soc. , vol.342 , pp. 435-445
    • Gardner, R.J.1
  • 28
    • 0001869896 scopus 로고
    • A positive answer to the Busemann-Petty problem in three dimensions
    • Gardner R.J. A positive answer to the Busemann-Petty problem in three dimensions. Ann. of Math. (2) 140 (1994) 435-447
    • (1994) Ann. of Math. (2) , vol.140 , pp. 435-447
    • Gardner, R.J.1
  • 29
    • 0033435894 scopus 로고    scopus 로고
    • An analytic solution to the Busemann-Petty problem on sections of convex bodies
    • Gardner R.J., Koldobsky A., and Schlumprecht Th. An analytic solution to the Busemann-Petty problem on sections of convex bodies. Ann. of Math. 149 (1999) 691-703
    • (1999) Ann. of Math. , vol.149 , pp. 691-703
    • Gardner, R.J.1    Koldobsky, A.2    Schlumprecht, Th.3
  • 30
    • 0010293950 scopus 로고
    • Some Bargmann spaces of analytic functions
    • Edwardsville, IL, 1994. Function Spaces, Dekker, New York
    • Edwardsville, IL, 1994. Garling D.J.H., and Wojtaszczyk P. Some Bargmann spaces of analytic functions. Function Spaces. Lecture Notes in Pure and Appl. Math. 172 (1995), Dekker, New York 123-138
    • (1995) Lecture Notes in Pure and Appl. Math. 172 , pp. 123-138
    • Garling, D.J.H.1    Wojtaszczyk, P.2
  • 33
    • 84975992354 scopus 로고
    • A note on a problem of H. Busemann and C.M. Petty concerning sections of symmetric convex bodies
    • Giannopoulos A. A note on a problem of H. Busemann and C.M. Petty concerning sections of symmetric convex bodies. Mathematika 37 (1990) 239-244
    • (1990) Mathematika , vol.37 , pp. 239-244
    • Giannopoulos, A.1
  • 34
    • 0005060479 scopus 로고
    • Cubature formulae, polytopes and spherical designs
    • Springer
    • Goethals J.P., and Seidel J.J. Cubature formulae, polytopes and spherical designs. Collection: The Geometric Vein (1981), Springer 203-218
    • (1981) Collection: The Geometric Vein , pp. 203-218
    • Goethals, J.P.1    Seidel, J.J.2
  • 35
    • 0002517837 scopus 로고
    • Zonoids and generalizations
    • North-Holland, Amsterdam
    • Goodey P., and Weil W. Zonoids and generalizations. Handbook of Convex Geometry (1993), North-Holland, Amsterdam 1297-1326
    • (1993) Handbook of Convex Geometry , pp. 1297-1326
    • Goodey, P.1    Weil, W.2
  • 36
    • 51249179500 scopus 로고
    • Some inequalities for Gaussian processes and applications
    • Gordon Y. Some inequalities for Gaussian processes and applications. Israel J. Math. 50 (1985) 265-289
    • (1985) Israel J. Math. , vol.50 , pp. 265-289
    • Gordon, Y.1
  • 37
    • 33748891674 scopus 로고
    • On potentials of measures in Banach spaces
    • Gorin E.A., and Koldobsky A. On potentials of measures in Banach spaces. Siberian Math. J. 28 (1987) 65-80
    • (1987) Siberian Math. J. , vol.28 , pp. 65-80
    • Gorin, E.A.1    Koldobsky, A.2
  • 38
    • 0002975215 scopus 로고
    • Resumé de la theorie metrique des produits tensoriels topologique
    • Grothendieck A. Resumé de la theorie metrique des produits tensoriels topologique. Bol. Soc. Mat. de Sao Paulo 8 (1956) 1-79
    • (1956) Bol. Soc. Mat. de Sao Paulo , vol.8 , pp. 1-79
    • Grothendieck, A.1
  • 41
    • 0000244098 scopus 로고
    • On the spectral representation of symmetric stable processes
    • Hardin Jr. C.D. On the spectral representation of symmetric stable processes. J. Multivariate Anal. 12 (1982) 385-401
    • (1982) J. Multivariate Anal. , vol.12 , pp. 385-401
    • Hardin Jr., C.D.1
  • 43
    • 0001000741 scopus 로고
    • A class of negative definite functions
    • Herz C. A class of negative definite functions. Proc. Amer. Math. Soc. 14 (1963) 670-676
    • (1963) Proc. Amer. Math. Soc. , vol.14 , pp. 670-676
    • Herz, C.1
  • 44
    • 77956781055 scopus 로고    scopus 로고
    • Basic concepts in the geometry of Banach spaces
    • Johnson W.B., and Lindenstrauss J. (Eds), Elsevier, Amsterdam
    • Johnson W.B., and Lindenstrauss J. Basic concepts in the geometry of Banach spaces. In: Johnson W.B., and Lindenstrauss J. (Eds). Handbook of the Geometry of Banach Spaces Vol. 1 (2001), Elsevier, Amsterdam 1-84
    • (2001) Handbook of the Geometry of Banach Spaces , vol.1 , pp. 1-84
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 47
    • 0000769446 scopus 로고
    • On inner products linear metric spaces
    • Jordan P., and Neumann J.v. On inner products linear metric spaces. Ann. of Math. 36 (1935) 719-723
    • (1935) Ann. of Math. , vol.36 , pp. 719-723
    • Jordan, P.1    Neumann, J.v.2
  • 48
    • 34250470567 scopus 로고
    • Certain functionals on the Minkowski compactum
    • Kadets M.I., and Snobar M.G. Certain functionals on the Minkowski compactum. Math. Notes 10 (1971) 694-696
    • (1971) Math. Notes , vol.10 , pp. 694-696
    • Kadets, M.I.1    Snobar, M.G.2
  • 50
    • 0002515295 scopus 로고
    • General moment problem geometric approach
    • Kemperman J.H.B. General moment problem geometric approach. Ann. Math. Stat. 39 (1968) 93-115
    • (1968) Ann. Math. Stat. , vol.39 , pp. 93-115
    • Kemperman, J.H.B.1
  • 51
    • 0003180011 scopus 로고
    • The Schoenberg problem on positive-definite functions
    • Koldobsky A. The Schoenberg problem on positive-definite functions. Algebra & Analiz 3 3 (1991) 78-85
    • (1991) Algebra & Analiz , vol.3 , Issue.3 , pp. 78-85
    • Koldobsky, A.1
  • 52
    • 0003180013 scopus 로고
    • The Schoenberg problem on positive-definite functions
    • Translation:
    • Translation:. Koldobsky A. The Schoenberg problem on positive-definite functions. St. Petersburg Math. J. 3 (1992) 563-570
    • (1992) St. Petersburg Math. J. , vol.3 , pp. 563-570
    • Koldobsky, A.1
  • 57
    • 85064188319 scopus 로고
    • p -spaces of solutions of homogeneous partial differential equations
    • Edwardsville, IL, 1994. Func-tion Spaces, Dekker, New York
    • p -spaces of solutions of homogeneous partial differential equations. Func-tion Spaces. Lecture Notes in Pure and Appl. Math. 172 (1995), Dekker, New York 251-263
    • (1995) Lecture Notes in Pure and Appl. Math. 172 , pp. 251-263
    • Koldobsky, A.1
  • 58
    • 0039223485 scopus 로고    scopus 로고
    • Positive definite functions, stable measures and isometries on Banach spaces
    • Columbia, MO, 1994. Interaction Between Functional Analysis, Harmonic Analysis, and Probability, Dekker, New York
    • Columbia, MO, 1994. Koldobsky A. Positive definite functions, stable measures and isometries on Banach spaces. Interaction Between Functional Analysis, Harmonic Analysis, and Probability. Lecture Notes in Pure and Appl. Math. 175 (1996), Dekker, New York 275-290
    • (1996) Lecture Notes in Pure and Appl. Math. 175 , pp. 275-290
    • Koldobsky, A.1
  • 59
    • 0000918923 scopus 로고    scopus 로고
    • Intersection bodies positive definite distributions and the Busemann-Petty problem
    • Koldobsky A. Intersection bodies positive definite distributions and the Busemann-Petty problem. Amer.J. Math. 120 (1998) 827-840
    • (1998) Amer.J. Math. , vol.120 , pp. 827-840
    • Koldobsky, A.1
  • 61
    • 0005899167 scopus 로고    scopus 로고
    • Second derivative test for intersection bodies
    • Koldobsky A. Second derivative test for intersection bodies. Adv. Math. 136 (1998) 15-25
    • (1998) Adv. Math. , vol.136 , pp. 15-25
    • Koldobsky, A.1
  • 62
    • 0011597068 scopus 로고    scopus 로고
    • A generalization of the Busemann-Petty problem on sections of convex bodies
    • Koldobsky A. A generalization of the Busemann-Petty problem on sections of convex bodies. Israel J. Math. 110 (1999) 75-91
    • (1999) Israel J. Math. , vol.110 , pp. 75-91
    • Koldobsky, A.1
  • 63
    • 0038930638 scopus 로고    scopus 로고
    • A short proof of Schoenberg's conjecture on positive definite functions
    • Koldobsky A., and Lonke Y. A short proof of Schoenberg's conjecture on positive definite functions. Bull.London Math. Soc. 31 (1999) 693-699
    • (1999) Bull.London Math. Soc. , vol.31 , pp. 693-699
    • Koldobsky, A.1    Lonke, Y.2
  • 64
    • 51249176251 scopus 로고
    • Spaces with large projection constants
    • König H. Spaces with large projection constants. Israel J. Math. 50 (1985) 181-188
    • (1985) Israel J. Math. , vol.50 , pp. 181-188
    • König, H.1
  • 66
    • 0742318991 scopus 로고    scopus 로고
    • Eigenvalues of operators and applications
    • Johnson W.B., and Lindenstrauss J. (Eds), Elsevier, Amsterdam
    • König H. Eigenvalues of operators and applications. In: Johnson W.B., and Lindenstrauss J. (Eds). Handbook of the Geometry of Banach Spaces Vol. 1 (2001), Elsevier, Amsterdam 941-974
    • (2001) Handbook of the Geometry of Banach Spaces , vol.1 , pp. 941-974
    • König, H.1
  • 67
    • 0041341340 scopus 로고
    • Finite dimensional projection constants
    • König H., Lewis D.R., and Lin P.K. Finite dimensional projection constants. Studia Math. 75 (1983) 341-358
    • (1983) Studia Math. , vol.75 , pp. 341-358
    • König, H.1    Lewis, D.R.2    Lin, P.K.3
  • 68
    • 0033474309 scopus 로고    scopus 로고
    • Projection constants of symmetric spaces and variantsof the Khintchine inequality
    • König H., Schütt C., and Tomczak-Jaegermann N. Projection constants of symmetric spaces and variantsof the Khintchine inequality. J. Reine Angew. Math. 511 (1999) 1-42
    • (1999) J. Reine Angew. Math. , vol.511 , pp. 1-42
    • König, H.1    Schütt, C.2    Tomczak-Jaegermann, N.3
  • 69
    • 0009148389 scopus 로고
    • Bounds for projection constants and 1-summing norms
    • König H., and Tomczak-Jaegermann N. Bounds for projection constants and 1-summing norms. Trans. Amer. Math. Soc. 320 (1990) 799-823
    • (1990) Trans. Amer. Math. Soc. , vol.320 , pp. 799-823
    • König, H.1    Tomczak-Jaegermann, N.2
  • 72
    • 0002713649 scopus 로고
    • Some combinatorial and probabilistic inequalities and their applications to Banach space theory
    • Kwapieri S., and Schütt C. Some combinatorial and probabilistic inequalities and their applications to Banach space theory. Studia Math. 82 (1985) 91-106
    • (1985) Studia Math. , vol.82 , pp. 91-106
    • Kwapieri, S.1    Schütt, C.2
  • 73
    • 84972545497 scopus 로고
    • On the isometries of certain function spaces
    • Lamperti J. On the isometries of certain function spaces. Pacific J. Math. 8 (1958) 459-466
    • (1958) Pacific J. Math. , vol.8 , pp. 459-466
    • Lamperti, J.1
  • 74
    • 84971946870 scopus 로고
    • The existence of a centrally symmetric convex body with central sections that are unexpectedly small
    • Larman D.G., and Rogers C.A. The existence of a centrally symmetric convex body with central sections that are unexpectedly small. Mathematika 22 (1975) 164-175
    • (1975) Mathematika , vol.22 , pp. 164-175
    • Larman, D.G.1    Rogers, C.A.2
  • 76
    • 77956721121 scopus 로고
    • Shifted moment problem for Gaussian measures in some Orlicz spaces
    • Lewandowski M. Shifted moment problem for Gaussian measures in some Orlicz spaces. Probab. Math.Statist. 10 (1989) 107-118
    • (1989) Probab. Math.Statist. , vol.10 , pp. 107-118
    • Lewandowski, M.1
  • 77
    • 33646833005 scopus 로고
    • On the extension of operators with finite dimensional range
    • Lindenstrauss J. On the extension of operators with finite dimensional range. Illinois J. Math. 8 (1964) 488-499
    • (1964) Illinois J. Math. , vol.8 , pp. 488-499
    • Lindenstrauss, J.1
  • 78
    • 51249189459 scopus 로고
    • On the complemented subspaces problem
    • Lindenstrauss J., and Tzafriri L. On the complemented subspaces problem. Israel J. Math. 9 (1971) 263-269
    • (1971) Israel J. Math. , vol.9 , pp. 263-269
    • Lindenstrauss, J.1    Tzafriri, L.2
  • 79
    • 0040666286 scopus 로고
    • Moments of measures on Banach spaces
    • Linde W. Moments of measures on Banach spaces. Math. Ann. 258 (1982) 277-287
    • (1982) Math. Ann. , vol.258 , pp. 277-287
    • Linde, W.1
  • 80
    • 77956741063 scopus 로고
    • On Rudin's equimeasurability theorem for infinite-dimensional Hilbert spaces
    • Linde W. On Rudin's equimeasurability theorem for infinite-dimensional Hilbert spaces. Indiana Univ. Math. J. 35 (1986) 235-243
    • (1986) Indiana Univ. Math. J. , vol.35 , pp. 235-243
    • Linde, W.1
  • 81
    • 33748780832 scopus 로고
    • 0 (Ω)
    • 0 (Ω). Math. Ann. 274 (1986) 617-626
    • (1986) Math. Ann. , vol.274 , pp. 617-626
    • Linde, W.1
  • 82
    • 77956728755 scopus 로고
    • Shifted moments of Gaussian measures in Hilbert spaces
    • Linde W. Shifted moments of Gaussian measures in Hilbert spaces. Note Mat. 6 (1986) 273-284
    • (1986) Note Mat. , vol.6 , pp. 273-284
    • Linde, W.1
  • 83
    • 34250087999 scopus 로고
    • q 1 ≤q < ∞
    • q 1 ≤q < ∞. Math. Z. 197 (1988) 319-341
    • (1988) Math. Z. , vol.197 , pp. 319-341
    • Linde, W.1
  • 84
    • 77956769925 scopus 로고    scopus 로고
    • One more solution to Schoenberg's problem
    • unpublished manuscript
    • A. Lisitsky, One more solution to Schoenberg's problem, unpublished manuscript.
    • Lisitsky, A.1
  • 85
    • 0031479950 scopus 로고    scopus 로고
    • On zonoids whose polars are zonoids
    • Lonke Y. On zonoids whose polars are zonoids. Israel J. Math. 102 (1997) 1-12
    • (1997) Israel J. Math. , vol.102 , pp. 1-12
    • Lonke, Y.1
  • 86
    • 85064187307 scopus 로고
    • p spaces of solutions of homogeneous linear differential equations with constant coefficients
    • Leningrad. Gos. Ped. Inst., Leningrad
    • p spaces of solutions of homogeneous linear differential equations with constant coefficients. Operators and their Applications (1985), Leningrad. Gos. Ped. Inst., Leningrad 52-56
    • (1985) Operators and their Applications , pp. 52-56
    • Lopachev, V.A.1
  • 88
    • 77956745755 scopus 로고
    • p -spaces of polyanalytic functions
    • Ulyanovsk. Gos. Ped. Inst., Ulyanovsk
    • p -spaces of polyanalytic functions. Functional Analysis 26 (1986), Ulyanovsk. Gos. Ped. Inst., Ulyanovsk 122-129
    • (1986) Functional Analysis , vol.26 , pp. 122-129
    • Lopachev, V.A.1    Plotkin, A.I.2
  • 90
    • 0009389631 scopus 로고
    • p -isometries and equimeasurability"
    • p -isometries and equimeasurability". Indiana Univ.Math. J. 27 (1978) 859-866
    • (1978) Indiana Univ.Math. J. , vol.27 , pp. 859-866
    • Lusky, W.1
  • 91
    • 0000830163 scopus 로고
    • Intersection bodies and dual mixed volumes
    • Lutwak E. Intersection bodies and dual mixed volumes. Adv. Math. 71 (1988) 232-261
    • (1988) Adv. Math. , vol.71 , pp. 232-261
    • Lutwak, E.1
  • 92
    • 0042746050 scopus 로고
    • On the boundary spectrum of a contraction in Minkowski spaces
    • Lyubich Y. On the boundary spectrum of a contraction in Minkowski spaces. Siberian Math. J. 11 (1970) 271-279
    • (1970) Siberian Math. J. , vol.11 , pp. 271-279
    • Lyubich, Y.1
  • 94
    • 0040202600 scopus 로고
    • Isometric embeddings between classical Banach spaces
    • Lyubich Y., and Vaserstein L. Isometric embeddings between classical Banach spaces. Geom. Dedic. 47 (1993) 327-362
    • (1993) Geom. Dedic. , vol.47 , pp. 327-362
    • Lyubich, Y.1    Vaserstein, L.2
  • 95
    • 0040063542 scopus 로고    scopus 로고
    • Improved upper bounds for approximation by zonotopes
    • Matoušek J. Improved upper bounds for approximation by zonotopes. Acta Math. 177 (1996) 55-73
    • (1996) Acta Math. , vol.177 , pp. 55-73
    • Matoušek, J.1
  • 96
    • 0039203671 scopus 로고
    • Completeness of location families translated moments and uniqueness of charges
    • Mattner L. Completeness of location families translated moments and uniqueness of charges. Probab. Theory Related Fields 92 (1992) 137-149
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 137-149
    • Mattner, L.1
  • 97
    • 0042244854 scopus 로고
    • A few observations on the connections between local theory and some other fields
    • Milman V.D. A few observations on the connections between local theory and some other fields. Lect. Notes in Math. 1317 (1988) 283-289
    • (1988) Lect. Notes in Math. , vol.1317 , pp. 283-289
    • Milman, V.D.1
  • 98
    • 0002904748 scopus 로고
    • Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normedn-dimensional space
    • Geometric Aspects of Functional Analysis. Lindenstrauss J., and Milman V.D. (Eds), Springer, Heidelberg
    • Milman V.D., and Pajor A. Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normedn-dimensional space. In: Lindenstrauss J., and Milman V.D. (Eds). Geometric Aspects of Functional Analysis. Lecture Notes in Math. 1376 (1989), Springer, Heidelberg 64-104
    • (1989) Lecture Notes in Math. 1376 , pp. 64-104
    • Milman, V.D.1    Pajor, A.2
  • 99
    • 77956739732 scopus 로고
    • On norm dependent positive definite functions
    • Misiewicz J. On norm dependent positive definite functions. Bull. Acad. Sci. Georgian SSR 130 (1988) 253-256
    • (1988) Bull. Acad. Sci. Georgian SSR , vol.130 , pp. 253-256
    • Misiewicz, J.1
  • 105
    • 84972090761 scopus 로고
    • On the Busemann-Petty problem about convex
    • n Rtrally symmetric bodies in
    • n Rtrally symmetric bodies in. Mathematika 39 (1992) 258-266
    • (1992) Mathematika , vol.39 , pp. 258-266
    • Papadimitrakis, M.1
  • 106
    • 33645509384 scopus 로고
    • Isometric operators in spaces of summable analytic and harmonic functions
    • Plotkin A.I. Isometric operators in spaces of summable analytic and harmonic functions. Dokl. Akad. Nauk SSSR 185 (1969) 995-997
    • (1969) Dokl. Akad. Nauk SSSR , vol.185 , pp. 995-997
    • Plotkin, A.I.1
  • 111
    • 0001232688 scopus 로고
    • On the zeroes of an integral function represented by Fourier's integral
    • Polya G. On the zeroes of an integral function represented by Fourier's integral. Messenger Math. 52 (1923) 185-188
    • (1923) Messenger Math. , vol.52 , pp. 185-188
    • Polya, G.1
  • 113
    • 77956765935 scopus 로고    scopus 로고
    • Explicit isometric and almost isometric embeddings
    • Weizmann Institute of Science
    • Rabinovich L. Explicit isometric and almost isometric embeddings. M.Sc. Thesis (1997), Weizmann Institute of Science
    • (1997) M.Sc. Thesis
    • Rabinovich, L.1
  • 114
    • 0031351567 scopus 로고    scopus 로고
    • 1-complemented subspaces of spaces with 1-unconditional bases
    • Randrianantoanina B. 1-complemented subspaces of spaces with 1-unconditional bases. Canad. J. Math. 49 (1997) 1242-1264
    • (1997) Canad. J. Math. , vol.49 , pp. 1242-1264
    • Randrianantoanina, B.1
  • 115
    • 2942599309 scopus 로고    scopus 로고
    • Injective isometries in Orlicz spaces
    • Edwardsville, IL, 1998. Function Spaces, Amer. Math. Soc., Providence, RI
    • Edwardsville, IL, 1998. Randrianantoanina B. Injective isometries in Orlicz spaces. Function Spaces. Contemp. Math. 232 (1999), Amer. Math. Soc., Providence, RI 269-287
    • (1999) Contemp. Math. 232 , pp. 269-287
    • Randrianantoanina, B.1
  • 116
    • 0001667254 scopus 로고
    • Sums of even powers of real linear forms
    • Reznick B. Sums of even powers of real linear forms. Mem. Amer. Math. Soc. 463 (1993)
    • (1993) Mem. Amer. Math. Soc. , vol.463
    • Reznick, B.1
  • 117
    • 0013198574 scopus 로고
    • On uniqueness of the spectral representation of stable processes
    • Rosinski J. On uniqueness of the spectral representation of stable processes. J. Theoret. Probab. 7 (1994) 615-634
    • (1994) J. Theoret. Probab. , vol.7 , pp. 615-634
    • Rosinski, J.1
  • 118
    • 0001550767 scopus 로고
    • p -isometries and equimeasurability
    • p -isometries and equimeasurability. Indiana Univ. Math. J. 25 (1976) 215-228
    • (1976) Indiana Univ. Math. J. , vol.25 , pp. 215-228
    • Rudin, W.1
  • 119
    • 84966257802 scopus 로고
    • Zonoids whose polars are zonoids
    • Schneider R. Zonoids whose polars are zonoids. Proc. Amer. Math. Soc. 50 (1975) 365-368
    • (1975) Proc. Amer. Math. Soc. , vol.50 , pp. 365-368
    • Schneider, R.1
  • 122
    • 84968492782 scopus 로고
    • Metric spaces and positive definite functions
    • Schoenberg I.J. Metric spaces and positive definite functions. Trans. Amer. Math. Soc. 44 (1938) 522-536
    • (1938) Trans. Amer. Math. Soc. , vol.44 , pp. 522-536
    • Schoenberg, I.J.1
  • 123
    • 77956782892 scopus 로고
    • Certain integral equalities which imply equimeasurability of functions
    • Stephenson K. Certain integral equalities which imply equimeasurability of functions. Canad. J. Math. 29 (1977) 824-844
    • (1977) Canad. J. Math. , vol.29 , pp. 824-844
    • Stephenson, K.1
  • 125
    • 85057482133 scopus 로고
    • p -spaces of pluriharmonic and polyanalytic functions
    • No. 26, Ulyanovsk. Gos. Ped. Inst., Ulyanovsk
    • p -spaces of pluriharmonic and polyanalytic functions. Functional Analysis (1986), Ulyanovsk. Gos. Ped. Inst., Ulyanovsk 62-67
    • (1986) Functional Analysis , pp. 62-67
    • Vasin, A.V.1
  • 126
    • 21144473410 scopus 로고
    • On a new method for constructing good point sets on spheres
    • Wagner G. On a new method for constructing good point sets on spheres. Discr. Comp. Geom. 9 (1993) 11-129
    • (1993) Discr. Comp. Geom. , vol.9 , pp. 11-129
    • Wagner, G.1
  • 127
    • 0003119520 scopus 로고
    • Zonoide und verwandte Klassen konvexer Körper
    • Weil W. Zonoide und verwandte Klassen konvexer Körper. Monatsh. Math. 94 (1982) 73-84
    • (1982) Monatsh. Math. , vol.94 , pp. 73-84
    • Weil, W.1
  • 129
    • 0039476867 scopus 로고
    • Positive definite functions depending on the norm
    • Zastavnyi V.P. Positive definite functions depending on the norm. Russian J. Math. Phys. 1 (1993) 511-522
    • (1993) Russian J. Math. Phys. , vol.1 , pp. 511-522
    • Zastavnyi, V.P.1
  • 130
    • 0038844166 scopus 로고
    • Positive-definite functions that depend on a norm
    • Zastavnyi V.P. Positive-definite functions that depend on a norm. Dokl. Ros. Akad. Nauk 325 (1992) 901-903
    • (1992) Dokl. Ros. Akad. Nauk , vol.325 , pp. 901-903
    • Zastavnyi, V.P.1
  • 131
    • 77956770292 scopus 로고
    • A special representation of isometries of function spaces
    • Yaroslav. Gos. Univ., Yaroslavl
    • Zaidenberg M.G. A special representation of isometries of function spaces. Studies in the Theory of Functions of Several Variables Vol. 174 (1980), Yaroslav. Gos. Univ., Yaroslavl 84-91
    • (1980) Studies in the Theory of Functions of Several Variables , vol.174 , pp. 84-91
    • Zaidenberg, M.G.1
  • 132
    • 0000235581 scopus 로고
    • Centered bodies and dual mixed volumes
    • Zhang G. Centered bodies and dual mixed volumes. Trans. Amer. Math. Soc. 345 (1994) 777-801
    • (1994) Trans. Amer. Math. Soc. , vol.345 , pp. 777-801
    • Zhang, G.1
  • 134
    • 0033434568 scopus 로고    scopus 로고
    • A positive answer to the Busemann-Petty problem in four dimensions
    • Zhang G. A positive answer to the Busemann-Petty problem in four dimensions. Ann. of Math. 149 (1999) 535-543
    • (1999) Ann. of Math. , vol.149 , pp. 535-543
    • Zhang, G.1
  • 135
    • 34249838546 scopus 로고
    • A characterization of distributions by mean values of statistics and certain probabilistic metrics
    • Zinger A.A., Kakosyan A.V., and Klebanov L.B. A characterization of distributions by mean values of statistics and certain probabilistic metrics. J. Soviet Math. 59 (1992) 914-920
    • (1992) J. Soviet Math. , vol.59 , pp. 914-920
    • Zinger, A.A.1    Kakosyan, A.V.2    Klebanov, L.B.3


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