Geodesic
On stability properties of positive contractions of $L^1$-spaces associated with finite von Neumann algebras
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
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 259-269 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
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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     title = {On stability properties of positive
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     journal = {Colloquium Mathematicum},
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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

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