Maličky-Riečan's entropy as a version of operator entropy

• Autorzy: Bartosz Frej
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 28D20: Entropy and other invariants
• 37A35: Entropy and other invariants, isomorphism, classification

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2006
• Tom: 189
• Numer: 2
• Strony: 185-193

Daty

wydano

2006

Twórcy

autor

Bartosz Frej

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/fm189-2-7