1 citations · 2 across the 8 of their papers we have counts for
10 papers
Some remarks on orthogonally additive operators on Riesz spaces
Olena Fotiy, Vladimir Kadets, Mikhail Popov
We study orthogonally additive operators between Riesz spaces without the Dedekind completeness assumption on the range space. Our first result gives necessary and sufficient condi…
More on measurable algebras and Rademacher systems with applications to analysis of Riesz spaces
Mikhail Popov
We find necessary and sufficient conditions on a family in a Boolean algebra under which there exists a unique positive probability me…
Basis entropy in Banach spaces
Andrei Dorogovtsev, Mikhail Popov
We introduce and study two notions of entropy in a Banach space X with a normalized Schauder basis . The geometric entropy E(A) of a subset A of X is defined to be the infimum of r…
Narrow orthogonally additive operators
Marat Pliev, Mikhail Popov
We extend the notion of narrow operators to nonlinear maps on vector lattices. The main objects are orthogonally additive operators and, in particular, abstract Uryson operators. M…
Narrow and -strictly singular operators from
V. Mykhaylyuk, M. Popov, B. Randrianantoanina +1
In the first part of the paper we prove that for every operator is narrow. This completes the list of sequence and function Lebesgue spaces…
On Enflo and narrow operators acting on
V. Mykhaylyuk, M. Popov, B. Randrianantoanina
The first part of the paper is inspired by a theorem of H. Rosenthal, that if an operator on satisfies the assumption that for each measurable set th…