3 papers
math.PR2022
Optimal range of Haar martingale transforms and its applications
Sergey Astashkin, Jinghao Huang, Marat Pliev +2
Let be the standard dyadic filtration on . Let be the conditional expectation from onto $\mathcal{F}…
math.FA2019
Atomic operators in vector lattices
Ralph Chill, Marat Pliev
In this paper we introduce a new class of operators on vector lattices. We say that a linear or nonlinear operator from a vector lattice to a vector lattice is atomic i…
math.OA2012
Stinespring type theorem for a finite family of maps on Hilbert C*-modules
Marat Pliev
The aim of this article is to extend the results of Asadi M.B, B.V.R. Bhat, G. Ramesh, K. Sumesh about completely positive maps on Hilbert C*-modules. We prove a Stinespring type t…