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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Ergodic theorems for semigroups of operators


Authors: W. M. Ruess and W. H. Summers
Journal: Proc. Amer. Math. Soc. 114 (1992), 423-432
MSC: Primary 47A35; Secondary 47D03, 47H20
MathSciNet review: 1075950
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Abstract: We establish ergodic theorems for Eberlein-weakly almost periodic motions and almost-orbits of semigroups of operators. The results apply to solutions of a class of (generally, nonlinear) evolution equations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1075950-1
PII: S 0002-9939(1992)1075950-1
Keywords: Semigroups of operators, mean ergodic theorem, weak almost periodicity
Article copyright: © Copyright 1992 American Mathematical Society