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

Division of Analysis and Theory of Functions

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	479-486
Number of pages	8
Journal	Studia Scientiarum Mathematicarum Hungarica
Volume	55
Issue number	4
DOIs	https://doi.org/10.1556/012.2018.55.4.1414
Publication status	Published - Dec 2018

Keywords

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

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10.1556/012.2018.55.4.1414

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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.

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KW - Lower-bound function

KW - Predual

KW - Strong convergence

KW - Von Neumann algebra

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

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Keywords

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