On the existence of \(\sigma\)-finite invariant measures for operators
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Publication:1138774
DOI10.1007/BF02762169zbMath0432.47004MaRDI QIDQ1138774
Publication date: 1979
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
invariant measureirreducibleconservativeBanach limitHarris conditiontransition measurecondition of sigma-type
Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Functional limit theorems; invariance principles (60F17) Limit theorems in probability theory (60F99) (L^p)-limit theorems (60F25)
Cites Work
- Pointwise convergence of the iterates of a Harris-recurrent Markov operator
- On existence of finite invariant measures
- Period of an irreducible positive operator
- On probabilistic limit theorems for a class of positive matrices
- An ergodic theorem for Markov chains
- An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels
- Non-Singular Recurrent Markov Processes have Stationary Measures
- Markov chains recurrent in the sense of Harris
- A Note on Invariant Measures
- Integral Kernels and Invariant Measures for Markoff Transition Functions
- Finitely Additive Measures
- A general ergodic theorem
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