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

27 papers

math.DS2025

Besicovitch-weighted ergodic theorems with continuous time

Semyon Litvinov

Given $1 \leq p < \infty$ , we show that ergodic flows in the $L^{p}$ -space over a $σ$ -finite measure space generated by strongly continuous semigroups of Dunford-Schwartz operators and…

math.HO2024

A contemporary inversive geometry solution of the three-circle problem of Steiner

Azizkhon Azizov, Semyon Litvinov

We present a concise self-contained inversive geometry solution of the three-circle problem of Steiner of constructing a circle that intersects each of the three given circles at o…

math.FA2023

On Egorov's Theorem for Infinite Measure

Semyon Litvinov

A simple proof of Egorov's theorem for infinite measure is given

math.OA2023

Notes on noncommutative ergodic theorems

Semyon Litvinov

Given a semifinite von Neumann algebra $M$ equipped with a faithful normal semifinite trace $τ$ , we prove that the spaces $L^{0} (M, τ)$ and $R_{τ}$ are comple…

math.OA2020

Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p > 1$

Semyon Litvinov

We prove that the ergodic Ces\' aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^{p} (M, τ)$ , $1 < p < \infty$ , converge almost uniforml…

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 $L^{p}$ -space, $1 \leq p < \infty$ , 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 $σ$ -finite measure to a generally stronger almost uniform convergence and present a larger, universal,…

math.FA2019

Individual ergodic theorems for infinite measure

Vladimir Chilin, Dogan Comez, Semyon Litvinov

Given a $σ$ -finite infinite measure space $(Ω, μ)$ , it is shown that any Dunford-Schwartz operator $T : L^{1} (Ω) \to L^{1} (Ω)$ can be uniquely extended to the space $\ma…

math.FA2019

Ergodic theorems in Banach ideals of compact operators

Aziz Azizov, Vladimir Chilin, Semyon Litvinov

Let $H$ be an infinite-dimensional Hilbert space, and let $B (H)$ ( $K (H)$ ) be the $C^{*}$ -algebra of bounded (respectively, compact) linea…

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…

math.FA2017

Validity space of Dunford-Schwartz pointwise ergodic theorem

Vladimir Chilin, Semyon Litvinov

We show that if a $σ -$ finite infinite measure space $(Ω, μ)$ is quasi-non-atomic, then the Dunford-Schwartz pointwise ergodic theorem holds for $f\in \mathcal L^1(Ω)+\mathcal L^{\in…

math.FA2017

The validity space of Dunford-Schwartz ergodic theorem for infinite measure

Vladimir Chilin, Semyon Litvinov

We show that if $(Ω, μ)$ is an infinite measure space, the pointwise Dunford-Shwartz ergodic theorem holds for $f \in L^{1} (Ω) + L^{\infty} (Ω)$ if and only if $μ\{f>λ\}<…

math.FA2016★ 6 cited

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…

math.OA2016

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 $L^{p} -$ space, $1 \leq p < \infty$ or, more generally, in a noncommutative Orlicz space with order continu…

math.FA2016

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…

math.OA2016

Individual ergodic theorems in noncommutative symmetric spaces

Vladimir Chilin, Semyon Litvinov

It is known that, for a positive Dunford-Schwartz operator in a noncommutative $L^{p} -$ space, $1 \leq p < \infty$ or, more generally, in a noncommutative Orlicz space with order continu…

math.OA2016

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 $(δ_{2}, Δ_{2}) -$ condition, an ind…

math.FA2015

On pointwise ergodic theorems for infinite measure

Vladimir Chilin, Dogan Comez, Semyon Litvinov

For a Dunford-Schwartz operator in the $L^{p} -$ space, $1 \leq p < \infty$ , of an arbitrary measure space, we prove pointwise convergence of the conventional and Besicovitch weighted e…

math.OA2014

Ergodic theorems in fully symmetric spaces of $τ -$ measurable operators

Vladimir Chilin, Semyon Litvinov

In [11], employing the technique of noncommutative interpolation, a maximal ergodic theorem in noncommutative Lp-spaces, 1 < p < infinity, was established and, among other things,…

math.MG2014

Routh's theorem for simplices

Frantisek Marko, Semyon Litvinov

It is shown in our earlier paper that, using only tools of elementary geometry, the classical Routh's theorem for triangles can be fully extended to tetrahedra. In this article we…

math.OA2014★ 3 cited

A Non-commutative Wiener-Wintner Theorem

Semyon Litvinov

For a von Neumann algebra $M$ with a faithful normal tracial state $τ$ and a positive ergodic homomorphism $α : L^{1} (M, τ) \to L^{1} (M, τ)$ such th…

Besicovitch-weighted ergodic theorems with continuous time

A contemporary inversive geometry solution of the three-circle problem of Steiner

On Egorov's Theorem for Infinite Measure

Notes on noncommutative ergodic theorems

Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for p>1

Noncommutative almost uniform Wiener-Wintner ergodic theorem

On individual ergodic theorems for semifinite von Neumann algebras

Almost uniform convergence in Wiener-Wintner ergodic theorem

Individual ergodic theorems for infinite measure

Ergodic theorems in Banach ideals of compact operators

Noncommutative weighted individual ergodic theorems with continuous time

Local ergodic theorems in symmetric spaces of measurable operators

Almost uniform and strong convergences in ergodic theorems for symmetric spaces

Validity space of Dunford-Schwartz pointwise ergodic theorem

The validity space of Dunford-Schwartz ergodic theorem for infinite measure

Pointwise ergodic theorems in symmetric spaces of measurable functions

Individual ergodic theorems for semifinite von Neumann algebras

Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem

Individual ergodic theorems in noncommutative symmetric spaces

Individual ergodic theorems in noncommutative Orlicz spaces

On pointwise ergodic theorems for infinite measure

Ergodic theorems in fully symmetric spaces of τ−measurable operators

Routh's theorem for simplices

A Non-commutative Wiener-Wintner Theorem

Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p > 1$

Ergodic theorems in fully symmetric spaces of $τ -$ measurable operators