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

• Autorzy: Farrukh Mukhamedov , Hasan Akin , Seyit Temir
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 47A35: Ergodic theory
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 2
• Strony: 259-269

Daty

wydano

2006

Twórcy

autor

Farrukh Mukhamedov

• Department of Mechanics and Mathematics, National University of Uzbekistan, Vuzgorodok, 700174, Tashkent, Uzbekistan
• Dipartamento de Fisica, Universidade de Aveiro, Campus Universitario de Santiago, 3810-193 Aveiro, Portugal

autor

Hasan Akin

• Department of Mathematics, Arts and Science Faculty, Harran University, 63200, Şanliurfa, Turkey

autor

Seyit Temir

• Department of Mathematics, Arts and Science Faculty, Harran University, 63200, Şanliurfa, Turkey

Identyfikatory

DOI

10.4064/cm105-2-7