Publication Cover
Applicable Analysis
An International Journal
Volume 41, 1991 - Issue 1-4
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Original Articles

Pointwise ergodic theorems for multivalued functions

Pages 53-87 | Received 02 Apr 1990, Published online: 02 May 2007
 

Abstract

Let x be a real separable Banach space and (ω,A,μ) a probability space. Also letbe a measurable, measure preserving transformation on (ω,A,μ) and a semigroup of measurable measure preserving transformations on (ω,A,μ) so that the induced semigroup of isometries on L1 is strongly continous on [0,∞]Given a measurable multifunction with we prove the almost sure convergence in the mosco sense of the following ergodic averages of the multifunction F.

and identifications of the corresponding limits are given.

AMS(MOS):

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