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arxiv: 1810.08286 · v1 · pith:LZD3SZ4Pnew · submitted 2018-10-18 · 🧮 math.FA

A note on positive mathcal{AN} operators

classification 🧮 math.FA
keywords operatorsabsolutelyattainingnormpositiveresultapplicationcharacterize
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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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