Strong ergodic theorems for commutative semigroups of operators
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Abstract:
We prove strong mean convergence theorems and the existence of ergodic projection and retraction for commutative semigroups of operators which is Eberlein-weakly almost periodic.References
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Additional Information
- O. Kada
- Affiliation: Department of Information Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152, Japan
- Email: kada@math.sci.ynu.ac.jp
- Received by editor(s): March 20, 1995
- Received by editor(s) in revised form: October 19, 1995, July 18, 1997, and January 9, 1998
- Published electronically: May 4, 1999
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 3003-3011
- MSC (1991): Primary 47A35, 47H09, 47H20
- DOI: https://doi.org/10.1090/S0002-9939-99-03738-7
- MathSciNet review: 1636382