Ergodic properties of Markov semigroups in von Neumann algebras
Kielanowicz, Katarzyna (University of Łódź. Faculty of Mathematics and Computer Science)
Łuczak, Andrzej (University of Łódź. Faculty of Mathematics and Computer Science)

Date:	2020
Abstract:	We investigate ergodic properties of Markov semigroups in von Neumann algebras with the help of the notion of constrictor, which expresses the idea of closeness of the orbits of the semigroup to some set, as well as the notion of "generalised averages", which generalises to arbitrary abelian semigroups the classical notions of Ces'aro, Borel, or Abel means. In particular, mean ergodicity, asymptotic stability, and structure properties of the fixed-point space are analysed in some detail.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Ergodic theorems ; Markov semigroups ; Positive maps ; Von Neumann algebra
Published in:	Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 283-331, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/362897
DOI: 10.5565/PUBLMAT6412012

49 p, 478.8 KB

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