On entropy localization of
doubly stochastic operators

Mehdi Rahimi

doi:10.4064/cm9001-2-2023

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On entropy localization of doubly stochastic operators

Volume 173 / 2023

Mehdi Rahimi Colloquium Mathematicum 173 (2023), 197-209 MSC: Primary 28D20; Secondary 37A35. DOI: 10.4064/cm9001-2-2023 Published online: 22 May 2023

Abstract

In this paper, the axiomatic steps leading to the entropy of doubly stochastic operators are localized. This results in a map which is indeed a local entropy map for doubly stochastic operators. Some of the properties of the introduced local quantities are also studied and compared to the corresponding steps in the axiomatic approach.

Authors

Mehdi RahimiDepartment of Mathematics
Faculty of Science
University of Qom
Qom, Iran
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