2 citations · 4 across the 5 of their papers we have counts for
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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…