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Generalized Dobrushin Coefficients on Banach Spaces

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The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier… Click to show full abstract

The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on $$L^1$$ L 1 (or positive operators on abstract state spaces).

Keywords: coefficients banach; banach; banach spaces; generalized dobrushin; dobrushin coefficients

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021

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