Characterization of Absolutely Norm Attaining Compact Hyponormal Operators

Year 2020, Volume: 2 Issue: 2, 96 - 102, 30.12.2020

Benard Okelo

https://doi.org/10.47086/pims.689633

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.

Keywords

Norm-attainability, Compactness, Hyponormal operator

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