Representation of Compact Operators between Banach spaces
Functional Analysis
2023-08-16 v1 Spectral Theory
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.
Cite
@article{arxiv.2308.07756,
title = {Representation of Compact Operators between Banach spaces},
author = {G. Ramesh and M. Veena Sangeetha and Shanola S. Sequeira},
journal= {arXiv preprint arXiv:2308.07756},
year = {2023}
}
Comments
16 Pages, submitted to a journal. Comments/suggestions are welcome