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A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications

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Abstract

We prove the information monotonicity of the operator perspective and a complementary inequality for the information monotonicity of the operator perspective involving a positive linear map. As some consequences of our results, we demonstrate the information monotonicity and its complementary for the \(\alpha \)-power operator mean, the Tsallis relative operator entropy, the generalized Tsallis relative operator entropy, the relative operator entropy, the generalized relative operator entropy, and the weighted harmonic mean.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University, Tehran, Iran

    Ismail Nikoufar

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  1. Ismail Nikoufar
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“I.N. wrote the main manuscript text and reviewed it.”

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Correspondence to Ismail Nikoufar.

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Communicated by Petr Siegl

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This article is part of the topical collection “Spectral Theory and Operators in Mathematical Physics” edited by Jussi Behrndt, Fabrizio Colombo and Petr Siegl.

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Nikoufar, I. A Complementary Inequality for the Information Monotonicity of the Operator Perspective and Applications. Complex Anal. Oper. Theory 17, 133 (2023). https://doi.org/10.1007/s11785-023-01435-8

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