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Ergodic Properties of Bounded L1-Operators

Ryotaro Sato
Proceedings of the American Mathematical Society
Vol. 39, No. 3 (Aug., 1973), pp. 540-546
DOI: 10.2307/2039590
Stable URL: http://www.jstor.org/stable/2039590
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Ergodic Properties of Bounded L1-Operators
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Abstract

Individual ergodic theorems for bounded L1-operators are proved in $\S1$, and the problem of existence of positive invariant functions for positive L1-operators is considered in $\S2$. A decomposition theorem similar to that of Sucheston [12] is proved in the last section.

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