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Volumn 60, Issue 3, 1999, Pages 871-896

Metric entropy of convex hulls in Banach spaces

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EID: 0000989054     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610799008005     Document Type: Article
Times cited : (49)

References (27)
  • 1
    • 0002741761 scopus 로고
    • The entropy of convex bodies with 'few' extreme points
    • Cambridge University Press
    • K. BALL and A. PAJOR, The entropy of convex bodies with 'few' extreme points, London Mathematical Society Lecture Note Series 158 (Cambridge University Press, 1990) 25-32.
    • (1990) London Mathematical Society Lecture Note Series , vol.158 , pp. 25-32
    • Ball, K.1    Pajor, A.2
  • 2
    • 0002511537 scopus 로고
    • On the duality problem for entropy numbers of operators
    • Geometric aspects of functional analysis (1987-88)
    • J. BOURGAIN, A. PAJOR, S. SZAREK and N. TOMCZAK-JAEGERMANN, 'On the duality problem for entropy numbers of operators', Geometric aspects of functional analysis (1987-88), Lecture Notes in Mathematics 1376 (1989) 50-63.
    • (1989) Lecture Notes in Mathematics , vol.1376 , pp. 50-63
    • Bourgain, J.1    Pajor, A.2    Szarek, S.3    Tomczak-Jaegermann, N.4
  • 3
    • 0000474305 scopus 로고
    • Entropy numbers, s-numbers and eigenvalue problems
    • B. CARL, 'Entropy numbers, s-numbers and eigenvalue problems', J. Funct. Anal. 41 (1981) 290-306.
    • (1981) J. Funct. Anal. , vol.41 , pp. 290-306
    • Carl, B.1
  • 4
    • 0009019630 scopus 로고
    • q into a Banach space of type p with some applications to eigenvalue problems
    • q into a Banach space of type p with some applications to eigenvalue problems', J. Funct. Anal. 48 (1982) 394-407.
    • (1982) J. Funct. Anal. , vol.48 , pp. 394-407
    • Carl, B.1
  • 5
    • 0001845750 scopus 로고
    • Inequalities of Bernstein-Jackson type and the degree of compactness of operators in Banach spaces
    • B. CARL, 'Inequalities of Bernstein-Jackson type and the degree of compactness of operators in Banach spaces', Ann. Inst. Fourier 35 (1985) 79-118.
    • (1985) Ann. Inst. Fourier , vol.35 , pp. 79-118
    • Carl, B.1
  • 7
    • 0038883958 scopus 로고
    • Estimates of covering numbers
    • B. CARL and A. HESS, 'Estimates of covering numbers', J. Approx. Theory 65 (1991) 121-139.
    • (1991) J. Approx. Theory , vol.65 , pp. 121-139
    • Carl, B.1    Hess, A.2
  • 8
    • 34250086379 scopus 로고
    • Gelfand numbers of operators with values in Hubert spaces
    • B. CARL and A. PAJOR, 'Gelfand numbers of operators with values in Hubert spaces', Invent. Math. 94 (1988) 459-504.
    • (1988) Invent. Math. , vol.94 , pp. 459-504
    • Carl, B.1    Pajor, A.2
  • 10
    • 38249026918 scopus 로고
    • S-numbers of integral operators with Holder continuous kernels over metric compacta
    • B. CARL, S. HEINRICH and T. KÜHN, 's-numbers of integral operators with Holder continuous kernels over metric compacta', J. Funct. Anal. 81 (1988) 54-73.
    • (1988) J. Funct. Anal. , vol.81 , pp. 54-73
    • Carl, B.1    Heinrich, S.2    Kühn, T.3
  • 11
    • 51249165063 scopus 로고
    • Some estimates on entropy numbers
    • M. DEFANT and M. JUNGE, 'Some estimates on entropy numbers', Israel J. Math. 84 (1993) 417-433.
    • (1993) Israel J. Math. , vol.84 , pp. 417-433
    • Defant, M.1    Junge, M.2
  • 12
    • 0001605679 scopus 로고
    • Universal Donsker classes and metric entropy
    • R. M. DUDLEY, 'Universal Donsker classes and metric entropy', Ann. Probals. 15 (1987) 1306-1326.
    • (1987) Ann. Probals. , vol.15 , pp. 1306-1326
    • Dudley, R.M.1
  • 14
    • 0000286901 scopus 로고
    • On diameters of the Euclidean sphere
    • A. GARNAEV and E. GLUSKIN, 'On diameters of the Euclidean sphere', Dokl. Akad. Nauk. USSR 277 (1984) 1048-1052.
    • (1984) Dokl. Akad. Nauk. USSR , vol.277 , pp. 1048-1052
    • Garnaev, A.1    Gluskin, E.2
  • 15
    • 38249037633 scopus 로고
    • Geometric and probabilistic estimates for entropy and approximation numbers of operators
    • Y. GORDON, H. KÖNIG and C. SCHÜTT, 'Geometric and probabilistic estimates for entropy and approximation numbers of operators', J. Approx. Theory 49 (1987) 219-239.
    • (1987) J. Approx. Theory , vol.49 , pp. 219-239
    • Gordon, Y.1    König, H.2    Schütt, C.3
  • 19
    • 51249170813 scopus 로고
    • Banach spaces with a weak cotype 2 property
    • V. MILMAN and G. PISIER, 'Banach spaces with a weak cotype 2 property', Israel J. Math. 54 (1986) 139-158.
    • (1986) Israel J. Math. , vol.54 , pp. 139-158
    • Milman, V.1    Pisier, G.2
  • 20
    • 51249176104 scopus 로고
    • Quotient volumique et espaces de Banach de type 2-faible
    • A. PAJOR, 'Quotient volumique et espaces de Banach de type 2-faible', Israel J. Math. 57 (1987) 101-106.
    • (1987) Israel J. Math. , vol.57 , pp. 101-106
    • Pajor, A.1
  • 21
    • 0001380430 scopus 로고
    • Remarques sur les nombres d'entropie d'un opérateur et de son transposé
    • A. PAJOR and N. TOMCZAK-JAEGERMANN, 'Remarques sur les nombres d'entropie d'un opérateur et de son transposé', C. R. Acad. Sci. Paris 301 (1985) 743-746.
    • (1985) C. R. Acad. Sci. Paris , vol.301 , pp. 743-746
    • Pajor, A.1    Tomczak-Jaegermann, N.2
  • 22
    • 0000994356 scopus 로고
    • Subspaces of small codimension of finite dimensional Banach spaces
    • A. PAJOR and N. TOMCZAK-JAEGERMANN, 'Subspaces of small codimension of finite dimensional Banach spaces', Proc. Amer. Math. Soc. 97 (1986) 637-642.
    • (1986) Proc. Amer. Math. Soc. , vol.97 , pp. 637-642
    • Pajor, A.1    Tomczak-Jaegermann, N.2
  • 25
    • 85027233736 scopus 로고    scopus 로고
    • Entropy and the approximation of bounded functions and operators
    • to appear
    • C. RICHTER and I. STEPHANI, 'Entropy and the approximation of bounded functions and operators', Arch. Math., to appear.
    • Arch. Math.
    • Richter, C.1    Stephani, I.2
  • 26
    • 0000581036 scopus 로고
    • Entropy numbers of diagonal operators between symmetric Banach spaces
    • C. SCHÜTT, 'Entropy numbers of diagonal operators between symmetric Banach spaces', J. Approx. Theory 40 (1984) 121-128.
    • (1984) J. Approx. Theory , vol.40 , pp. 121-128
    • Schütt, C.1
  • 27
    • 0000819460 scopus 로고
    • New Gaussian estimates for enlarged balls
    • M. TALAGRAND, 'New Gaussian estimates for enlarged balls', Geom. Funct. Anal. 3 (1993) 502-526.
    • (1993) Geom. Funct. Anal. , vol.3 , pp. 502-526
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.