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.
               
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