Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-1972-0308820-1
MathSciNet review: 0308820
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A35, 28A65

Retrieve articles in all journals with MSC: 47A35, 28A65


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0308820-1
Keywords: Positive linear contraction, individual ergodic theorem, weak sequential compactness
Article copyright: © Copyright 1972 American Mathematical Society