2005-Oujda International Conference on Nonlinear Analysis,
Oujda, Morocco.
Electronic Journal of Differential Equations,
Conference 14 (2006), pp. 227-229. 

Title: Uniformly ergodic theorem for commuting  multioperators

Authors: Samir Lahrech     (Univ. Oujda, Morocco)
         Abderrahim Mbarki (National school of Applied Sciences, Morocco)
	 Abdelmalek Ouahab (Univ. Oujda, Morocco)
	 Said Rais         (Univ. Oujda, Morocco)
 
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.