On stability properties of positive contractions of L<sup>1</sup>-spaces associated with finite von Neumann algebras
Farrukh MukhamedovDepartment of Mechanics and Mathematics National University of Uzbekistan Vuzgorodok, 700174, Tashkent, Uzbekistan and Dipartamento de Fisica Universidade de Aveiro Campus Universitario de Santiago 3810-193 Aveiro, PortugalHasan AkınDepartment of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, TurkeySeyi̇t TemirDepartment of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, Turkey
ABI
Аннотация
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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