A new sufficient condition for the denseness of norm attaining operators

被引：19

作者：

Acosta, MD ^{[1
]}

Aguirre, FJ ^{[1
]}

Paya, R ^{[1
]}

机构：

[1] UNIV GRANADA,FAC CIENCIAS,DEPT MATEMAT ANAL,E-18071 GRANADA,SPAIN

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1996年 / 26卷 / 02期

关键词：

operators on Banach spaces; norm attaining; Bishop-Phelps theorem; BANACH-SPACES;

D O I：

10.1216/rmjm/1181072066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new sufficient condition for a Banach space Y to satisfy Lindenstrauss's property B, namely the set of norm-attaining operators from any other Banach space X into Y is dense. Even in the finite-dimensional case, our result gives new examples of Banach spaces with property B.

引用

页码：407 / 418

页数：12

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