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math.FA2020
Noncommutative almost uniform Wiener-Wintner ergodic theorem
Vladimir Chilin, Semyon Litvinov
Almost uniform version of noncommutative Wiener-Wintner ergodic theorem and its extension to Besicovitch weights are proved.
math.OA2020
On individual ergodic theorems for semifinite von Neumann algebras
Vladimir Chilin, Semyon Litvinov
It is known that, for a positive Dunford-Schwartz operator in a noncommutative -space, , or, more generally, in a noncommutative Orlicz space with order contin…
math.FA2020
Almost uniform convergence in Wiener-Wintner ergodic theorem
Vladimir Chilin, Semyon Litvinov
We extend almost everywhere convergence in Wiener-Wintner ergodic theorem for -finite measure to a generally stronger almost uniform convergence and present a larger, universal,…