2 citations · 4 across the 4 of their papers we have counts for
7 papers
Isomorphic classification of -algebras of log-integrable functions
Rustam Abdullayev, Vladimir Chilin
Using the notion of passport of a normed Boolean algebra, necessary and sufficient conditions for a -isomorphism of -algebras of log-integrable measurable functions are…
Uniform convergence in the individual ergodic theorem for symmetric sequence spaces
Vladimir Chilin, Azizhon Azizov
It is proved that for any Dunford-Schwartz operator acting in the space and for each there exists an element such that $\| \frac 1n…
Validity space of Dunford-Schwartz pointwise ergodic theorem
Vladimir Chilin, Semyon Litvinov
We show that if a finite infinite measure space is quasi-non-atomic, then the Dunford-Schwartz pointwise ergodic theorem holds for $f\in \mathcal L^1(Ω)+\mathcal L^{\in…
Isometries of perfect norm ideals of compact operators
Behzod Aminov, Vladimir Chilin
It is proved that for every surjective linear isometry on a perfect Banach symmetric ideal of compact operators, acting in a complex separable i…
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…
Maharam traces on von Neumann algebras
Vladimir Chilin, Botir Zakirov
Traces on von Neumann algebras with values in complex order complete vector lattices are considered. The full description of these traces is given for the case when is the…