The Bishop-Phelps-Bollobás property for operators defined on c₀-sum of Euclidean spaces

2022/08/12 by Grando, Thiago, Lourenço, Mary Lilian
#46B20 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46B04 #Secondary 46B07

paper · doi:10.48550/arxiv.2208.06404

Abstract

The main purpose of this paper is to study the Bishop-Phelps-Bollobás property for operators on c₀-sum of euclidean spaces. We show that the pair (c₀(\bigoplus^∞_k=1ℓ^k₂ ),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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