RENORMING, PROXIMAL SUBSPACES, AND QUOTIENTS IN BANACH-SPACES

被引：1

作者：

FRANCHETTI, C ^{[1
]}

VESELY, L ^{[1
]}

机构：

[1] CHARLES UNIV, FAC MATH & PHYS, CS-18600 PRAGUE, CZECHOSLOVAKIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 173卷 / 02期

关键词：

D O I：

10.1006/jmaa.1993.1075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Any Banach space can be equivalently renormed so that a given subspace is proximinal. We give a sufficient condition for an equivalent norm on 11(Γ) to satisfy the following property: every Banach space with the density character not greater than card (Γ) is isometric to a quotient of the renormed 11(Γ). Applications concerning the structure of quotients with proximinal subspaces are given. © 1993 Academic Press, Inc.

引用

页码：411 / 418

页数：8

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