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
收藏
页码：425 / 435
页数：10
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