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Separated spectra and operator inequalities

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The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra.… Click to show full abstract

The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra. The applications include showing how monotone functions behave like operator monotone functions and how the Choi-Davis inequality becomes valid for convex functions under this separation condition.

Keywords: spectra operator; operator; separated spectra; operator inequalities

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2021

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