On smooth norms and analytic sets

被引：0
|
作者：
Robert Kaufman
机构：
[1] University of Illinois,Department of Mathematics
来源：
Israel Journal of Mathematics | 2000年 / 116卷
关键词：
Unit Ball; Basic Sequence; Polish Space; Dual Norm; Hilbert Cube;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
LetX be a Banach space which isn’t reflexive but has a separable dual. ThenX admits a smooth norm so that the set of norm-attaining functionals is a complete analytic set. A variant of Asplund’s average norms is used.
引用
收藏
页码：21 / 27
页数：6
相关论文
共 50 条
  • [31] SMOOTH NORMS IN ORLICZ SPACES
    MALEEV, RP
    TROYANSKI, SL
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1991, 34 (01): : 74 - 82
  • [32] Two characterizations of smooth norms
    Martini, H
    Schöbel, A
    GEOMETRIAE DEDICATA, 1999, 77 (02) : 173 - 183
  • [33] Pointwise semicontinuous smooth norms
    M. Fabian
    V. Montesinos
    V. Zizler
    Archiv der Mathematik, 2002, 78 : 459 - 464
  • [34] Pointwise semicontinuous smooth norms
    Fabian, M
    Montesinos, V
    Zizler, V
    ARCHIV DER MATHEMATIK, 2002, 78 (06) : 459 - 464
  • [35] REMARKS ON SYMMETRICAL SMOOTH NORMS
    HAJEK, P
    ZIZLER, V
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1995, 52 (02) : 225 - 229
  • [36] Two Characterizations of Smooth Norms
    H. Martini
    A. Schöbel
    Geometriae Dedicata, 1999, 77 : 173 - 183
  • [37] FAITHFUL EXTENSIONS OF ANALYTIC SETS TO BOREL SETS
    CENZER, D
    MAULDIN, RD
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (06): : A595 - A595
  • [38] EQUIVALENT NORMS ON ANALYTIC SUBSPACES OF LP
    NOLAN, JP
    SINKALA, Z
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 126 (01) : 238 - 249
  • [39] QUANTITATIVE BEHAVIOR OF THE NORMS OF AN ANALYTIC MEASURE
    PIGNO, L
    SMITH, B
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (04) : 581 - 585
  • [40] Analytic study of norms of prime partitions
    Kumar, Abhimanyu
    BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 171
12345