A Representation of Hyponormal Absolutely Norm Attaining Operators
Neeru Bala, Ramesh G
TL;DR
This paper characterizes absolutely norm attaining normal operators using the essential spectrum and provides a structure theorem for hyponormal absolutely norm attaining operators, including conditions for their normality.
Contribution
It introduces a new characterization of absolutely norm attaining normal operators and establishes a structure theorem for hyponormal absolutely norm attaining operators.
Findings
Characterization of absolutely norm attaining normal operators via the essential spectrum
A structure theorem for hyponormal absolutely norm attaining operators
Conditions under which these operators are normal
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 -operators in short) and deduce conditions for the normality of the operator.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Mathematical Analysis and Transform Methods