On invariant measures and ergodic theorems for positive operators |
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Authors: | Yves Derriennic Michael Lin |
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Affiliation: | Department of Mathematics, The Ohio State University, Columbus, Ohio 43210 U.S.A. |
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Abstract: | Ergodic theorems and the existence of a finite invariant measure are investigated for a positive linear operator T on L1 of a σ-finite measure satisfying supN ? 1∥N?1Σn = 0N ? 1Tn∥< ∞. |
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