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article · Mathematics in Applied Sciences and Engineering

Relative operator entropy properties related to some weighted metrics

2024Open accessIbn Tofail University

Abstract

In recent decades, intensive research has been devoted to the study of various operator entropies. In this work, we investigate the properties of the parameterized relative operator entropy Sp(A | B) acting on positive definite matrices with respect to weighted Hellinger and Alpha Procrustes distances. In particular, we investigate estimation of the distance between the entropy Sp(A | B) and certain standard means.

Research topics

  • Mathematical Inequalities and Applications
  • Analytic and geometric function theory
  • Holomorphic and Operator Theory

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DOI: 10.5206/mase/16771

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