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

 

On the individual ergodic theorem for positive operators


Author: Ryōtarō Satō
Journal: Proc. Amer. Math. Soc. 36 (1972), 456-458
MSC: Primary 47A35; Secondary 28A65
MathSciNet review: 0308820
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Abstract: A theorem which gives a condition on a positive linear contraction on an $ {L^1}$-space in order that the individual ergodic theorem hold is proved. The theorem contains a result obtained by Y. Ito as a special case.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0308820-1
PII: S 0002-9939(1972)0308820-1
Keywords: Positive linear contraction, individual ergodic theorem, weak sequential compactness
Article copyright: © Copyright 1972 American Mathematical Society