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.
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页码：407 / 418
页数：12
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