On the ergodic properties of positive operators

DOI10.2748/tmj/1178225294zbMath0879.47005OpenAlexW2094735899MaRDI QIDQ1362566

Ryotaro Sato

Publication date: 19 January 1998

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225294

zbMATH Keywords

positive linear operatorergodic propertiesvector lattice of real-valued measurable functions

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Positive linear operators and order-bounded operators (47B65) Lattices of continuous, differentiable or analytic functions (46E05)

Cites Work

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• Mean-bounded operators and mean ergodic theorems
• Ergodic theorems. With a supplement by Antoine Brunel
• On the convergence of ergodic ratios for positive operators
• Multiparameter pointwise ergodic theorems for Markov operators on \(L_ \infty\)
• On probabilistic limit theorems for a class of positive matrices
• GEOMETRIC ERGODICITY IN DENUMERABLE MARKOV CHAINS
• On pointwise ergodic theorems for positive operators
• On d-Parameter Pointwise Ergodic Theorems in L 1
• Pointwise Ergodic Theorems
• A general ergodic theorem

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