Ergodic properties of Markov semigroups in von Neumann algebras

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 abeli...

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Detalles Bibliográficos
Autores: Kielanowicz, Katarzyna, Łuczak, Andrzej
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:218573
Acceso en línea:https://ddd.uab.cat/record/218573
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412012
Access Level:acceso abierto
Palabra clave:Ergodic theorems
Markov semigroups
Positive maps
Von Neumann algebra
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spelling Ergodic properties of Markov semigroups in von Neumann algebrasKielanowicz, KatarzynaŁuczak, AndrzejErgodic theoremsMarkov semigroupsPositive mapsVon Neumann algebraWe 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. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/218573https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412012reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2185732026-06-06T12:50:31Z
dc.title.none.fl_str_mv Ergodic properties of Markov semigroups in von Neumann algebras
title Ergodic properties of Markov semigroups in von Neumann algebras
spellingShingle Ergodic properties of Markov semigroups in von Neumann algebras
Kielanowicz, Katarzyna
Ergodic theorems
Markov semigroups
Positive maps
Von Neumann algebra
title_short Ergodic properties of Markov semigroups in von Neumann algebras
title_full Ergodic properties of Markov semigroups in von Neumann algebras
title_fullStr Ergodic properties of Markov semigroups in von Neumann algebras
title_full_unstemmed Ergodic properties of Markov semigroups in von Neumann algebras
title_sort Ergodic properties of Markov semigroups in von Neumann algebras
dc.creator.none.fl_str_mv Kielanowicz, Katarzyna
Łuczak, Andrzej
author Kielanowicz, Katarzyna
author_facet Kielanowicz, Katarzyna
Łuczak, Andrzej
author_role author
author2 Łuczak, Andrzej
author2_role author
dc.subject.none.fl_str_mv Ergodic theorems
Markov semigroups
Positive maps
Von Neumann algebra
topic Ergodic theorems
Markov semigroups
Positive maps
Von Neumann algebra
description 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.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/218573
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412012
url https://ddd.uab.cat/record/218573
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6412012
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
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