On ergodic properties of operator nets on the predual of von Neumann algebras

Nazife Erkurşun Ozcan

doi:10.1556/012.2018.55.4.1414

On ergodic properties of operator nets on the predual of von Neumann algebras

Nazife Erkurşun Ozcan

Fonksiyonlar Teorisi ve Fonksiyonel Analiz Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Alıntılar (Scopus)

Özet

In this paper, we proved theorems which give the conditions that special operator nets on a predual of von Neumann algebras are strongly convergent under the Markov case. Moreover, we investigate asymptotic stability and existence of a lower-bound function for such nets.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	479-486
Sayfa sayısı	8
Dergi	Studia Scientiarum Mathematicarum Hungarica
Hacim	55
Basın numarası	4
DOI'lar	https://doi.org/10.1556/012.2018.55.4.1414
Yayın durumu	Yayınlandı - Ara 2018

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10.1556/012.2018.55.4.1414

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title = "On ergodic properties of operator nets on the predual of von Neumann algebras",

abstract = "In this paper, we proved theorems which give the conditions that special operator nets on a predual of von Neumann algebras are strongly convergent under the Markov case. Moreover, we investigate asymptotic stability and existence of a lower-bound function for such nets.",

keywords = "And phrases. LR-nets, Asymptotic stability, Lower-bound function, Predual, Strong convergence, Von Neumann algebra",

author = "Ozcan, \{Nazife Erkur{\c s}un\}",

note = "Publisher Copyright: c 2018 Akad{\'e}miai Kiad{\'o}, Budapest",

year = "2018",

month = dec,

doi = "10.1556/012.2018.55.4.1414",

language = "English",

volume = "55",

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T1 - On ergodic properties of operator nets on the predual of von Neumann algebras

AU - Ozcan, Nazife Erkurşun

N1 - Publisher Copyright: c 2018 Akadémiai Kiadó, Budapest

PY - 2018/12

Y1 - 2018/12

N2 - In this paper, we proved theorems which give the conditions that special operator nets on a predual of von Neumann algebras are strongly convergent under the Markov case. Moreover, we investigate asymptotic stability and existence of a lower-bound function for such nets.

AB - In this paper, we proved theorems which give the conditions that special operator nets on a predual of von Neumann algebras are strongly convergent under the Markov case. Moreover, we investigate asymptotic stability and existence of a lower-bound function for such nets.

KW - And phrases. LR-nets

KW - Asymptotic stability

KW - Lower-bound function

KW - Predual

KW - Strong convergence

KW - Von Neumann algebra

UR - https://www.scopus.com/pages/publications/85059932921

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DO - 10.1556/012.2018.55.4.1414

M3 - Article

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VL - 55

SP - 479

EP - 486

JO - Studia Scientiarum Mathematicarum Hungarica

JF - Studia Scientiarum Mathematicarum Hungarica

IS - 4

ER -

On ergodic properties of operator nets on the predual of von Neumann algebras

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