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

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