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

页码：21 / 27

页数：6

共 50 条

[21] COMPLEXITY OF ANALYTIC SETS
HRBACEK, K
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1978, 24 (05): : 419 - 425
[22] DEGREES OF ANALYTIC SETS
HRBACEK, K
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1983, 29 (01): : 75 - 82
[23] ON SINGULARITIES OF ANALYTIC SETS
BLEL, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1984, 298 (04): : 63 - 66
[24] Singular analytic sets
Ostrovsky, Alexey
TOPOLOGY AND ITS APPLICATIONS, 2020, 281
[25] Exponential analytic sets
B. Ya. Kazarnovskii
Functional Analysis and Its Applications, 1997, 31 : 86 - 94
[26] On approximation of analytic sets
Marcin Bilski
manuscripta mathematica, 2004, 114 : 45 - 60
[27] WINGS IN ANALYTIC SETS
STUTZ, J
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1973, 22 (08) : 795 - 800
[28] INTEGRAL ANALYTIC SETS
BRYUNO, AD
DOKLADY AKADEMII NAUK SSSR, 1975, 220 (06): : 1255 - 1258
[29] Concentration sets, elfving sets and norms in optimum design
Pázman, A
OPTIMUM DESIGN 2000, 2001, 51 : 101 - 112
[30] GLOBAL ALMOST ANALYTIC ALGEBRAICITY OF ANALYTIC SETS
KUCHARZ, W
PACIFIC JOURNAL OF MATHEMATICS, 1990, 143 (02) : 287 - 300

← 1 2 3 4 5 →