| Autor: |
Łuczak, Andrzej, Podsędkowska, Hanna, Wieczorek, Rafał |
| Předmět: |
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| Zdroj: |
Reviews in Mathematical Physics; Mar2023, Vol. 35 Issue 2, p1-39, 39p |
| Abstrakt: |
We prove that Araki's relative entropy equals Umegaki's information between normal states on semifinite von Neumann algebras, as well as derive formulae for quasi-entropies and Rényi's relative entropy in semifinite von Neumann algebras, generalizing thus the results known in finite dimension. Our investigations rest on a thorough analysis of the relative modular operator in such an algebra. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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