Ergodic properties of bounded 𝐿₁-operators

Satō, Ryōtarō

doi:10.1090/S0002-9939-1973-0414828-9

Ergodic properties of bounded $L_{1}$-operators
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Proc. Amer. Math. Soc. 39 (1973), 540-546 Request permission

Abstract:

Individual ergodic theorems for bounded ${L_1}$-operators are proved in §1, and the problem of existence of positive invariant functions for positive ${L_1}$-operators is considered in §2. A decomposition theorem similar to that of Sucheston [12] is proved in the last section.

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