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

Abstract

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 $(c_0\left({⨁}_{k=1}^{\infty }{\ell }_2^k\right),Y)$ has the Bishop-Phelps-Bollobás property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space.

References in corpus (1)

• The Bishop-Phelps-Bollobás property on the space of $c_0$-sum