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math.OA2018
Noncommutative weighted individual ergodic theorems with continuous time
Vladimir Chilin, Semyon Litvinov
We show that ergodic flows in noncommutative fully symmetric spaces (associated with a semifinite von Neumann algebra) generated by continuous semigroups of positive Dunford-Schwar…
math.FA2018
Local ergodic theorems in symmetric spaces of measurable operators
Vladimir Chilin, Semyon Litvinov
Local mean and individual (with respect to almost uniform convergence in Egorov's sense) ergodic theorems are established for actions of the semigroup in symmetric…
math.FA2018
Almost uniform and strong convergences in ergodic theorems for symmetric spaces
Vladimir Chilin, Semyon Litvinov
Let be a -finite measure space, and let be a fully symmetric space of measurable functions on . If , necessary and suff…