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arXiv · 2208.06404

The Bishop-Phelps-Bollob\'as property for operators defined on $c_0$-sum of Euclidean spaces

Thiago Grando·Mary Lilian Lourenço
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Abstract

The main purpose of this paper is to study the Bishop-Phelps-Bollob\'as 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-Bollob\'as property for operators (shortly BPBp for operators) whenever $Y$ is a uniformly convex Banach space.

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Thiago Grando, Mary Lilian Lourenço. 2022-08-12. The Bishop-Phelps-Bollob\'as property for operators defined on $c_0$-sum of Euclidean spaces. https://doi.org/10.1007/s10476-025-00070-z

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