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arXiv · 2308.07756

Representation of Compact Operators between Banach spaces

G. Ramesh·M. Veena Sangeetha·Shanola S. Sequeira
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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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G. Ramesh, M. Veena Sangeetha, Shanola S. Sequeira. 2023-08-15. Representation of Compact Operators between Banach spaces. https://arxiv.org/abs/2308.07756

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