On entropy localization of doubly stochastic operators
Tom 173 / 2023
Colloquium Mathematicum 173 (2023), 197-209
MSC: Primary 28D20; Secondary 37A35.
DOI: 10.4064/cm9001-2-2023
Opublikowany online: 22 May 2023
Streszczenie
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.