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On stability properties of positive contractions of L<sup>1</sup>-spaces associated with finite von Neumann algebras

Farrukh MukhamedovUniversity of AveiroHasan AkınDepartment of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, TurkeySeyi̇t TemirDepartment of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, Turkey
Colloquium Mathematicumjournal2006en
ABI

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We extend the notion of Dobrushin coefficient of ergodicity to positive contractions defined on the $L^1$-space associated with a finite von Neumann algebra, and in terms of this coefficient we prove stability results for $L^1$-contractions.

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