S. Litvinov

activity

20062025

most citedPointwise ergodic theorems in symmetric spaces of measurable functions

6 citations · 11 across the 17 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

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 $R_{+}^{d}$ in symmetric…

math.FA2018

Almost uniform and strong convergences in ergodic theorems for symmetric spaces

Vladimir Chilin, Semyon Litvinov

Let $(Ω, μ)$ be a $σ$ -finite measure space, and let $X \subset L^{1} (Ω) + L^{\infty} (Ω)$ be a fully symmetric space of measurable functions on $(Ω, μ)$ . If $μ (Ω) = \infty$ , necessary and suff…