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Representation of Compact Operators between Banach spaces

2023/08/15 by G. Ramesh, Ramesh, G., M. Veena Sangeetha +3
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2308.07756

Abstract

In this article, we give a representation for compact operators acting between reflexive Banach spaces, which generalizes the representation given by Edmunds et al. for compact operators between reflexive Banach spaces with strictly convex duals. Further, we give a representation for operators on Banach spaces that are comparable to compact normal operators on Hilbert spaces and illustrate our result with an example.

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