On stability properties of positive contractions of L1-spaces associated with finite von Neumann algebras

Farrukh Mukhamedov; Hasan Akin; Seyit Temir

doi:10.4064/cm105-2-7

On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras

Farrukh Mukhamedov
, Hasan Akin
, Seyit Temir

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

5 Citations (Scopus)

Abstract

We extend the notion of Dobrushin coeficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coeficient we prove stability results for L¹-contractions.

Original language	English
Pages (from-to)	259-269
Number of pages	11
Journal	Colloquium Mathematicum
Volume	105
Issue number	2
DOIs	https://doi.org/10.4064/cm105-2-7
Publication status	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "On stability properties of positive contractions of L1-spaces associated with finite von Neumann algebras",

abstract = "We extend the notion of Dobrushin coeficient of ergodicity to positive contractions defined on the L1-space associated with a finite von Neumann algebra, and in terms of this coeficient we prove stability results for L1-contractions.",

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AU - Mukhamedov, Farrukh

AU - Akin, Hasan

AU - Temir, Seyit

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AB - We extend the notion of Dobrushin coeficient of ergodicity to positive contractions defined on the L1-space associated with a finite von Neumann algebra, and in terms of this coeficient we prove stability results for L1-contractions.

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DO - 10.4064/cm105-2-7

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AN - SCOPUS:84973648020

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JO - Colloquium Mathematicum

JF - Colloquium Mathematicum

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ER -

On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras

Abstract

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