A note on positive $\mathcal{AN}$ operators

Published 18 Oct 2018 in math.FA | (1810.08286v1)

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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Ian Doust

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