THE BISHOP-PHELPS-BOLLOBAS THEOREM FOR OPERATORS FROM c0 TO UNIFORMLY CONVEX SPACES

被引：24
|
作者：
Kim, Sun Kwang [1 ]
机构：
[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 197卷 / 01期
关键词：
NORM ATTAINING OPERATORS;
D O I：
10.1007/s11856-012-0186-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the pair of Banach spaces (c(0), Y) has the Bishop-Phelps-Bollobas property when Y is uniformly convex. Further, when Y is strictly convex, if (c(0), Y) has the Bishop-Phelps-Bollobas property then Y is uniformly convex for the case of real Banach spaces. As a corollary, we show that the Bishop-Phelps-Bollobas theorem holds for bilinear forms on c(0) x l(p) (1 < p < infinity).
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页码：425 / 435
页数：11
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