S. Litvinov

collaborators

4 papers

math.HO2025

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.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 $I ¨ $ -finite measure space generated by strongly continuous semigroups of Dunford-Schwartz operators and…

math.OA2025

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 $L^{p} (M, I ¨ )$ , $1 < p < \infty$ , converge almost uniform…

math.FA2025

Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem

Semyon Litvinov

This article gives an affirmative solution to the problem whether the ergodic CesÃ¡ro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mat…

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

Besicovitch-weighted ergodic theorems with continuous time

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

Almost uniform convergence in noncommutative Dunford-Schwartz ergodic theorem

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