Characterization of Absolutely Norm Attaining Compact Hyponormal Operators

Authors : Benard OKELO

Pages : 96-102

Doi:10.47086/pims.689633

View : 12 | Download : 10

Publication Date : 2020-12-30

Article Type : Research Paper

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