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On Egorov's Theorem for Infinite Measure
Semyon Litvinov
A simple proof of Egorov's theorem for infinite measure is given
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.
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,…
Individual ergodic theorems for infinite measure
Vladimir Chilin, Dogan Comez, Semyon Litvinov
Given a -finite infinite measure space , it is shown that any Dunford-Schwartz operator can be uniquely extended to the space $\ma…
Ergodic theorems in Banach ideals of compact operators
Aziz Azizov, Vladimir Chilin, Semyon Litvinov
Let be an infinite-dimensional Hilbert space, and let () be the -algebra of bounded (respectively, compact) linea…
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…