Ergodic theorems for semigroups of operators-Reference-Cited by-同舟云学术

Ergodic theorems for semigroups of operators

Published:1992 Issue:2 Volume:114 Page:423-432
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ruess W. M.,Summers W. H.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-02/S0002-9939-1992-1075950-1/S0002-9939-1992-1075950-1.pdf

Reference36 articles.

1. Almost-Periodic Functions and Functional Equations

2. Quelques propriétés de convergence asymptotique pour les semi-groupes de contractions impaires;Baillon, Jean-Bernard;C. R. Acad. Sci. Paris S\'{e}r. A-B,1976

3. Applications of Mathematics;Balakrishnan, A. V.,1981

4. Nonlinear semigroups and differential equations in Banach spaces

5. Ph. Bénilan, Solutions intégrales d’équations d’évolution dans un espace de Banach, C. R. Acad. Sci. Paris Sér. A-B 274 (1972), A47-A50.

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On splittings and integration of almost periodic functions with and without geometry;Semigroup Forum;2024-03-19

2. Concepts of almost periodicity and ergodic theorems in locally convex spaces;Journal of Fixed Point Theory and Applications;2023-08-16

3. Stepanov Eberlein almost periodic functions and applications;Mathematical Methods in the Applied Sciences;2023-06-21

4. Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings;Advances in Nonlinear Analysis;2016-12-02

5. Eberlein-weakly almost periodic (in Stepanov-like sense) functions and application;Applicable Analysis;2012-11-05