The Bishop-Phelps-Bollobas theorem for L(L1(μ), L∞[0,1])

被引：23
作者：
Aron, Richard M. [2 ]
Choi, Yun Sung [3 ]
Garcia, Domingo [1 ]
Maestre, Manuel [1 ]
机构：
[1] Univ Valencia, Dept Anal Matemat, Burjassot 46100, Valencia, Spain
[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA
[3] POSTECH, Dept Math, Pohang 790784, South Korea
来源：
ADVANCES IN MATHEMATICS | 2011年 / 228卷 / 01期
关键词：
Operator; Norm attaining; Bishop-Phelps-Bollobas theorem; Measure space; NORM ATTAINING OPERATORS;
D O I：
10.1016/j.aim.2011.05.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the Bishop-Phelps-Bollobas theorem holds for all bounded operators from L-1(mu) into L-infinity[0, 1], where mu is a sigma-finite measure. (C) 2011 Elsevier Inc. All rights reserved.
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页码：617 / 628
页数：12
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