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

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Abstract | References | Similar Articles | Additional Information

Abstract: A theorem which gives a condition on a positive linear contraction on an -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:
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