The Bishop-Phelps-Bollobás Theorem for operators from c0 to uniformly convex spaces

被引：1

作者：

Sun Kwang Kim

机构：

[1] Korea Institute for Advanced Study (KIAS),School of Mathematics

来源：

Israel Journal of Mathematics | 2013年 / 197卷

关键词：

Banach Space; Bilinear Form; Bound Linear Operator; Israel Journal; Real Banach Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We show that the pair of Banach spaces (c0, Y) has the Bishop-Phelps-Bollobás property when Y is uniformly convex. Further, when Y is strictly convex, if (c0, Y) has the Bishop-Phelps-Bollobás property then Y is uniformly convex for the case of real Banach spaces. As a corollary, we show that the Bishop-Phelps-Bollobás theorem holds for bilinear forms on c0 × ℓp (1 < p < ∞).

引用

页码：425 / 435

页数：10

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