메뉴 건너뛰기




Volumn 127, Issue 5, 1999, Pages 1499-1507

The covering numbers and "low M*-estimate" for quasi-con vex bodies

Author keywords

[No Author keywords available]

Indexed keywords


EID: 22644450542     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04593-1     Document Type: Article
Times cited : (14)

References (21)
  • 1
    • 0038040160 scopus 로고
    • An extension of Milman's reverse Brunn-Minkowski inequality
    • [BBP] MR 96g:26026
    • [BBP] J. Bastero, J. Bernués and A. Pena, An extension of Milman's reverse Brunn-Minkowski inequality, GAFA 5 (1995), 572-581. MR 96g:26026
    • (1995) GAFA , vol.5 , pp. 572-581
    • Bastero, J.1    Bernués, J.2    Pena, A.3
  • 2
    • 0002195680 scopus 로고
    • Approximation of zonoids by zonotopes
    • [BLM] MR 90g:46020
    • [BLM] J. Bourgain, J. Lindenstrauss, V. Milman, Approximation of zonoids by zonotopes. Acta Math. 162 (1989), no. 1-2, 73-141. MR 90g:46020
    • (1989) Acta Math. , vol.162 , Issue.1-2 , pp. 73-141
    • Bourgain, J.1    Lindenstrauss, J.2    Milman, V.3
  • 3
    • 0037908044 scopus 로고
    • On a geometric inequality. Geometric aspects of functional analysis (1986/87)
    • [BMMP] Springer, Berlin-New York, MR 89h:46012
    • [BMMP] J. Bourgain, M. Meyer, V. Milman, A. Pajor, On a geometric inequality. Geometric aspects of functional analysis (1986/87), 271-282, Lecture Notes in Math., 1317, Springer, Berlin-New York, 1988. MR 89h:46012
    • (1988) Lecture Notes in Math , vol.1317 , pp. 271-282
    • Bourgain, J.1    Meyer, M.2    Milman, V.3    Pajor, A.4
  • 4
    • 84971124408 scopus 로고
    • The dimension of Euclidean subspaces of quasi-normed spaces
    • MR 86b:46003
    • S.J. Dilworth, The dimension of Euclidean subspaces of quasi-normed spaces, Math. Proc. Camb. Phil. Soc., 97, 311-320, 1985. MR 86b:46003
    • (1985) Math. Proc. Camb. Phil. Soc. , vol.97 , pp. 311-320
    • Dilworth, S.J.1
  • 5
    • 0002542403 scopus 로고
    • n. Geometric aspects of functional analysis (1986/87)
    • Springer, Berlin-New York, MR 90b:46036
    • n. Geometric aspects of functional analysis (1986/87), 84-106, Lecture Notes in Math., 1317, Springer, Berlin-New York, 1988. MR 90b:46036
    • (1988) Lecture Notes in Math , vol.1317 , pp. 84-106
    • Gordon, Y.1
  • 6
    • 0038716713 scopus 로고
    • Local structure theory for quasi-normed spaces
    • [GK] MR 96c:46007
    • [GK] Y. Gordon, N.J. Kalton, Local structure theory for quasi-normed spaces, Bull. Sci. Math., 118, 441-453, 1994. MR 96c:46007
    • (1994) Bull. Sci. Math. , vol.118 , pp. 441-453
    • Gordon, Y.1    Kalton, N.J.2
  • 7
    • 0001654702 scopus 로고
    • Extensions of Lipschitz mappings into a Hilbert space
    • [JL] New Haven, Conn., MR 86a:46018
    • [JL] W.B. Johnson, J. Lindenstrauss, Extensions of Lipschitz mappings into a Hilbert space. Conference in modern analysis and probability (New Haven, Conn., 1982), 189-206. MR 86a:46018
    • (1982) Conference in Modern Analysis and Probability , pp. 189-206
    • Johnson, W.B.1    Lindenstrauss, J.2
  • 11
    • 84968520245 scopus 로고
    • Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space
    • [M1] MR 87e:46026
    • [M1] V.D. Milman, Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space. Proc. Amer. Math. Soc. 94 (1985), no. 3, 445-449. MR 87e:46026
    • (1985) Proc. Amer. Math. Soc. , vol.94 , Issue.3 , pp. 445-449
    • Milman, V.D.1
  • 12
    • 0013517079 scopus 로고
    • Random subspaces of proportional dimension of finite-dimensional normed spaces: Approach through the isoperimetric inequality
    • [M2] Banach spaces (Columbia, Mo., 1984), Springer, Berlin-New York, MR 87j:46037b
    • [M2] V.D. Milman, Random subspaces of proportional dimension of finite-dimensional normed spaces: approach through the isoperimetric inequality. Banach spaces (Columbia, Mo., 1984), 106-115, Lecture Notes in Math., 1166, Springer, Berlin-New York, 1985. MR 87j:46037b
    • (1985) Lecture Notes in Math , vol.1166 , pp. 106-115
    • Milman, V.D.1
  • 13
    • 0011002556 scopus 로고
    • A note on a low M*-estimate
    • [M3] Geometry of Banach spaces (Strobl, 1989), Cambridge Univ. Press, Cambridge, MR 92e:46018
    • [M3] V.D. Milman, A note on a low M*-estimate. Geometry of Banach spaces (Strobl, 1989), 219-229, London Math. Soc. Lecture Note Ser., 158, Cambridge Univ. Press, Cambridge, 1990. MR 92e:46018
    • (1990) London Math. Soc. Lecture Note Ser. , vol.158 , pp. 219-229
    • Milman, V.D.1
  • 14
    • 0002904748 scopus 로고
    • Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space
    • [MP1] Geometric aspects of functional analysis (1987-88), Springer, Berlin-New York, MR 90g:52003
    • [MP1] V.D. Milman, A. Pajor, Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space. Geometric aspects of functional analysis (1987-88), 64-104, Lecture Notes in Math., 1376, Springer, Berlin-New York, 1989. MR 90g:52003
    • (1989) Lecture Notes in Math , vol.1376 , pp. 64-104
    • Milman, V.D.1    Pajor, A.2
  • 15
    • 0002338331 scopus 로고
    • Cas limites dans des inégalités du type de Khinchine et applications géométriques.
    • [MP2] French [Limit cases of Khinchin-type inequalities and some geometric applications] MR 90d:52018
    • [MP2] V. Milman, A. Pajor, Cas limites dans des inégalités du type de Khinchine et applications géométriques. (French) [Limit cases of Khinchin-type inequalities and some geometric applications] C. R. Acad. Sci. Paris Sér. I Math. 308 (1989), no. 4, 91-96. MR 90d:52018
    • (1989) C. R. Acad. Sci. Paris Sér. I Math. , vol.308 , Issue.4 , pp. 91-96
    • Milman, V.1    Pajor, A.2
  • 16
    • 51249170813 scopus 로고
    • Banach spaces with a weak cotype 2 property
    • [MPi] MR 88c:46022
    • [MPi] V. Milman, G. Pisier, Banach spaces with a weak cotype 2 property, Isr. J. Math., 54 (1980), 139-158. MR 88c:46022
    • (1980) Isr. J. Math. , vol.54 , pp. 139-158
    • Milman, V.1    Pisier, G.2
  • 17
    • 0003270948 scopus 로고
    • Asymptotic theory of finite dimensional normed spaces
    • [MS] Springer-Verlag MR 87m:46038
    • [MS] V.D. Milman and G. Schechtman, Asymptotic theory of finite dimensional normed spaces , Lecture Notes in Math. 1200, Springer-Verlag (1986). MR 87m:46038
    • (1986) Lecture Notes in Math , vol.1200
    • Milman, V.D.1    Schechtman, G.2
  • 18
    • 0000994356 scopus 로고
    • Subspaces of small codimension of finite-dimensional Banach spaces
    • [PT] MR 87i:46040
    • [PT] A. Pajor, N. Tomczak-Jaegermann, Subspaces of small codimension of finite-dimensional Banach spaces. Proc. Amer. Math. Soc. 97 (1986), no. 4, 637-642. MR 87i:46040
    • (1986) Proc. Amer. Math. Soc. , vol.97 , Issue.4 , pp. 637-642
    • Pajor, A.1    Tomczak-Jaegermann, N.2
  • 21
    • 0009919767 scopus 로고
    • Gaussian measures, Cauchy measures and ε-entropy
    • [S]
    • [S] V.N. Sudakov, Gaussian measures, Cauchy measures and ε-entropy. Soviet. Math. Dokl., 10 (1969), 310-313.
    • (1969) Soviet. Math. Dokl. , vol.10 , pp. 310-313
    • Sudakov, V.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.