Samir Lahrech, Abderrahim Mbarki, Abdelmalek Ouahab, Said Rais
Abstract:
In this paper, we established some uniformly Ergodic theorems by using
multioperators satisfying the E-k condition introduce in [3].
One consequence, is that if $I-T$ is quasi-Fredholm and satisfies
E-k condition then $T$ is uniformly ergodic.
Also we give some conditions for uniform ergodicity of a commuting
multioperators satisfies condition E-k.
These results are of interest in view of analogous results for unvalued
operators (see, for example [2]) also in view of the recent developments
in the ergodic theory and its applications.
Published September 20, 2006.
Math Subject Classifications: 47A35, 47A13.
Key Words: Average; E-k condition; finite descent; uniform ergodicity.
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Samir Lahrech Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: lahrech@sciences.univ-oujda.ac.ma |
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Abderrahim Mbarki National school of Applied Sciences P.O. Box 669, Oujda University, Morocco email: ambarki@ensa.univ-oujda.ac.ma |
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Abdelmalek Ouahab Département de Mathématiques, Université Oujda, 60000 Oujda, Morocco email: ouahab@sciences.univ-oujda.ac.ma |
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Said Rais Département de Mathématiques, Université Oujda, 60000 Oujda, Morocco email: said_rais@yahoo.fr |
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