Separated spectra and operator inequalities

Year 2021, Volume: 50 Issue: 4, 982 - 990, 06.08.2021

Mohammad Sababheh , Hamid Reza Moradı

https://doi.org/10.15672/hujms.732183

Cited By: 1

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

Operator order, separated spectra, convex functions, operator monotone functions

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