Geodesic
On stability properties of positive contractions of $L^1$-spaces associated with finite von Neumann algebras
Farrukh Mukhamedov1 ; Hasan Akin2 ; Seyit Temir2
1 Department 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, Portugal
2 Department of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, Turkey
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 259-269.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm105-2-7
Keywords: extend notion dobrushin coefficient ergodicity positive contractions defined space associated finite von neumann algebra terms coefficient prove stability results contractions

Farrukh Mukhamedov 1 ; Hasan Akin 2 ; Seyit Temir 2

1 Department 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, Portugal
2 Department of Mathematics Arts and Science Faculty Harran University, 63200 łanliurfa, Turkey 
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Farrukh Mukhamedov; Hasan Akin; Seyit Temir. On stability properties of positive
 contractions of $L^1$-spaces associated with
 finite von Neumann algebras. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 259-269. doi : 10.4064/cm105-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-7/

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