6 citations · 11 across the 17 of their papers we have counts for
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Pointwise ergodic theorems in symmetric spaces of measurable functions
Vladimir Chilin, Dogan Comez, Semyon Litvinov
For a Dunford-Schwartz operator in a fully symmetric space of measurable functions of an arbitrary measure space, we prove pointwise convergence of the conventional and weighted er…
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 continu…
Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem
Semyon Litvinov
This article gives an affirmative solution to the problem whether the ergodic Cesáro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\math…
Individual ergodic theorems in noncommutative symmetric spaces
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 continu…
Individual ergodic theorems in noncommutative Orlicz spaces
Vladimir Chilin, Semyon Litvinov
For a noncommutative Orlicz space associated with a semifnite von Neumann algebra, a faithful normal semifnite trace and an Orlicz function satisfying condition, an ind…