论文标题

在$ C_0 $ -SUM的欧几里得空间上定义的运营商的Bishop-Phelps-Bollobás物业

The Bishop-Phelps-Bollobás property for operators defined on $c_0$-sum of Euclidean spaces

论文作者

Grando, Thiago, Lourenço, Mary Lilian

论文摘要

本文的主要目的是在欧几里得空间上研究运营商的Bishop-Phelps-Bollobás物业。 We show that the pair $ (c_0\left(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} \right),Y)$ has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space.

The main purpose of this paper is to study the Bishop-Phelps-Bollobás property for operators on $c_0$-sum of euclidean spaces. We show that the pair $ (c_0\left(\bigoplus^{\infty}_{k=1}\ell^{k}_{2} \right),Y)$ has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space.

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