Relative operator entropy properties related to some weighted metrics
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Published:2024-01-20
Issue:1
Volume:5
Page:64-76
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ISSN:2563-1926
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Container-title:Mathematics in Applied Sciences and Engineering
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language:
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Short-container-title:Math Appl Sci Eng
Author:
Chergui Mohamed,El Hilali Abdenbi
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.
Publisher
University of Western Ontario, Western Libraries