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).

引用

页码：425 / 435

页数：11

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