6 citations · 9 across the 7 of their papers we have counts for
7 papers
On Egorov's Theorem for Infinite Measure
Semyon Litvinov
A simple proof of Egorov's theorem for infinite measure is given
Notes on noncommutative ergodic theorems
Semyon Litvinov
Given a semifinite von Neumann algebra equipped with a faithful normal semifinite trace , we prove that the spaces and are comple…
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…
Ergodic theorems in fully symmetric spaces of 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,…
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…
A Non-commutative Wiener-Wintner Theorem
Semyon Litvinov
For a von Neumann algebra with a faithful normal tracial state and a positive ergodic homomorphism such th…