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arXiv · 1810.08286

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

Ian Doust
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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. 2018-10-18. A note on positive $\mathcal{AN}$ operators. https://doi.org/10.1017/s0004972718001296

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