A CONTINUITY CHARACTERIZATION OF ASPLUND SPACES

被引：0

作者：

Giles, J. R. ^{[1
]}

机构：

[1] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 83卷 / 03期

关键词：

Frechet differentiability; subdifferential mapping; weak upper semi-continuity; gauge; extreme point; polar; Radon-Nikodym property; UPPER SEMI-CONTINUITY; DUALITY MAPPINGS; NORM;

D O I：

10.1017/S0004972710001978

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Banach space is an Asplund space if every continuous gauge has a point where the subdifferential mapping is Hausdorff weak upper semi-continuous with weakly compact image. This contributes towards the solution of a problem posed by Godefroy, Montesinos and Zizler.

引用

页码：450 / 455

页数：6

共 50 条

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