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

 

The dominated ergodic estimate for mean bounded, invertible, positive operators


Authors: F. J. Martín-Reyes and A. De la Torre
Journal: Proc. Amer. Math. Soc. 104 (1988), 69-75
MSC: Primary 47A35; Secondary 28D05, 46E30, 47B38
MathSciNet review: 958045
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Abstract: We characterize those positive linear operators with positive inverse for which the dominated ergodic estimate holds. We also prove that for such operators one has mean and a.e. convergence.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958045-3
PII: S 0002-9939(1988)0958045-3
Keywords: Dominated Ergodic Theorem, Individual Ergodic Theorem, positive invertible operators
Article copyright: © Copyright 1988 American Mathematical Society