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Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras
Authors:Eduard Yu Emel'yanov  Manfred PH Wolff
Institution:a Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
b Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany
Abstract:We develop a new approach for investigation of asymptotic behavior of Markov semigroup on preduals of von Neumann algebras. With using of our technique we establish several results about mean ergodicity, statistical stability, and constrictiviness of Markov semigroups.
Keywords:von Neumann algebra  Predual  Markov operator  Mean ergodicity  Statistical stability  Domination
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