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

Farrukh Mukhamedov; Hasan Akin; Seyit Temir

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 2, page 259-269
  • ISSN: 0010-1354

Abstract

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

How to cite

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Farrukh Mukhamedov, Hasan Akin, and Seyit Temir. "On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras." Colloquium Mathematicae 105.2 (2006): 259-269. <http://eudml.org/doc/283442>.

@article{FarrukhMukhamedov2006,
abstract = {We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for L¹-contractions.},
author = {Farrukh Mukhamedov, Hasan Akin, Seyit Temir},
journal = {Colloquium Mathematicae},
keywords = {Dobrušin coefficient of ergodicity; asymptotic stability; contraction; completely mixing; finite von Neumann algebra},
language = {eng},
number = {2},
pages = {259-269},
title = {On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras},
url = {http://eudml.org/doc/283442},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Farrukh Mukhamedov
AU - Hasan Akin
AU - Seyit Temir
TI - On stability properties of positive contractions of L¹-spaces associated with finite von Neumann algebras
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 259
EP - 269
AB - We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the L¹-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for L¹-contractions.
LA - eng
KW - Dobrušin coefficient of ergodicity; asymptotic stability; contraction; completely mixing; finite von Neumann algebra
UR - http://eudml.org/doc/283442
ER -

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