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arXiv · 2010.04130

A Representation of Hyponormal Absolutely Norm Attaining Operators

Neeru Bala·Ramesh G
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Abstract

In this article, we characterize absolutely norm attaining normal operators in terms of the essential spectrum. Later we prove a structure theorem for hyponormal absolutely norm attaining (or $\mathcal{AN}$-operators in short) and deduce conditions for the normality of the operator.

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Neeru Bala, Ramesh G. 2020-10-08. A Representation of Hyponormal Absolutely Norm Attaining Operators. https://arxiv.org/abs/2010.04130

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