Characterization of Absolutely Norm Attaining Compact Hyponormal Operators
Functional Analysis
2019-03-29 v1
Abstract
In this paper, we characterize absolute norm-attainability for compact hyponormal operators. We give necessary and sufficient conditions for a bounded linear compact hyponormal operator on an infinite dimensional complex Hilbert space to be absolutely norm attaining. Moreover, we discuss the structure of compact hyponormal operators when they are self-adjoint and normal. Lastly, we discuss in general, other properties of compact hyponormal operators when they are absolutely norm attaining and their commutators.
Cite
@article{arxiv.1903.11948,
title = {Characterization of Absolutely Norm Attaining Compact Hyponormal Operators},
author = {Benard Okelo},
journal= {arXiv preprint arXiv:1903.11948},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1801.02432 by other authors