On convexity properties of ψ-direct sums of Banach spaces

被引：14

作者：

Dowling, PN ^{[1
]}

机构：

[1] Miami Univ, Dept Math & Stat, Oxford, OH 45056 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 288卷 / 02期

关键词：

D O I：

10.1016/j.jmaa.2003.09.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The psi-direct sum of Banach spaces is strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) if each of the Banach spaces are strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) and the corresponding psi-norm is strictly convex. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：540 / 543

页数：4

共 11 条

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