TL;DR
This paper characterizes positive absolutely norm attaining operators through their spectra, simplifying previous results and applying the findings to characterize weighted shift operators with this property.
Contribution
It provides a spectral characterization of positive absolutely norm attaining operators and applies this to weighted shift operators, simplifying prior work.
Findings
Spectral characterization of positive absolutely norm attaining operators
Simplification of Ramesh's previous results
Characterization of weighted shift operators that are absolutely norm attaining
Abstract
We show that positive absolutely norm attaining operators can be characterized by a simple property of their spectra. This result clarifies and simplifies a result of Ramesh. As an application we characterize weighted shift operators which are absolutely norm attaining.
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