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Volumn 139, Issue 1, 2000, Pages 29-45

Metric entropy of convex hulls in Hilbert spaces

Author keywords

Convex hull; Gaussian process; Majorizing measure; Metric entropy

Indexed keywords


EID: 0034359637     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 0002741761 scopus 로고
    • The entropy of convex bodies with "few" extreme points
    • Cambridge Univ. Press
    • K. Ball and A. Pajor, The entropy of convex bodies with "few" extreme points, in: London Math. Soc. Lecture Note Ser. 158, Cambridge Univ. Press, 1990, 25-32.
    • (1990) London Math. Soc. Lecture Note Ser. , vol.158 , pp. 25-32
    • Ball, K.1    Pajor, A.2
  • 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
    • 0000261110 scopus 로고    scopus 로고
    • Metric entropy of convex hulls in Hilbert spaces
    • _, Metric entropy of convex hulls in Hilbert spaces, Bull. London Math. Soc. 29 (1997), 452-458.
    • (1997) Bull. London Math. Soc. , vol.29 , pp. 452-458
  • 8
    • 0000660999 scopus 로고
    • The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
    • R. M. Dudley, The sizes of compact subsets of Hilbert space and continuity of Gaussian processes, J. Funct. Anal. 1 (1967), 290-330.
    • (1967) J. Funct. Anal. , vol.1 , pp. 290-330
    • Dudley, R.M.1
  • 9
    • 0001605679 scopus 로고
    • Universal Donsker classes and metric entropy
    • _, Universal Donsker classes and metric entropy, Ann. Probab. 15 (1987), 1306-1326.
    • (1987) Ann. Probab. , vol.15 , pp. 1306-1326
  • 11
    • 0000286901 scopus 로고
    • On diameters of the Euclidean ball
    • in Russian
    • A. Garnaev and E. Gluskin, On diameters of the Euclidean ball, Dokl. Akad. Nauk SSSR 277 (1984), 1048-1052 (in Russian).
    • (1984) Dokl. Akad. Nauk SSSR , vol.277 , pp. 1048-1052
    • Garnaev, A.1    Gluskin, E.2
  • 12
    • 0000639280 scopus 로고    scopus 로고
    • Isoperimetry and Gaussian analysis
    • Lectures on Probability Theory and Statistics, Springer
    • M. Ledoux, Isoperimetry and Gaussian analysis, in: Lectures on Probability Theory and Statistics, Lecture Notes in Math. 1648, Springer, 1996, 165-294.
    • (1996) Lecture Notes in Math. , vol.1648 , pp. 165-294
    • Ledoux, M.1
  • 15
    • 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
  • 16
    • 0005554661 scopus 로고    scopus 로고
    • Entropy of C(K)-valued operators
    • to appear
    • I. Steinwart, Entropy of C(K)-valued operators, J. Approx. Theory, to appear.
    • J. Approx. Theory
    • Steinwart, I.1
  • 17
    • 0002662601 scopus 로고
    • Regularity of Gaussian processes
    • M. Talagrand, Regularity of Gaussian processes, Acta Math. 159 (1987), 99-149.
    • (1987) Acta Math. , vol.159 , pp. 99-149
    • Talagrand, M.1
  • 18
    • 0030369277 scopus 로고    scopus 로고
    • Majorizing measures: The generic chaining
    • _, Majorizing measures: The generic chaining, Ann. Probab. 24 (1996), 1049-1103.
    • (1996) Ann. Probab. , vol.24 , pp. 1049-1103


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.