1 citations · 2 across the 9 of their papers we have counts for
Showing 2015Show all
3 papers · 1 filter
math.FA2015
The Dodds-Fremlin type theorem for abstract Uryson operators
Vladimir Orlov, Marat Pliev, Dmitry Rode
We continue the investigation of abstract Uryson operators in vector lattices. Using the recently proved Up-and-down theorem for order bounded, orthogonally additive operators, we…
math.FA2015
Narrow operators on lattice-normed spaces and vector measures
D. T. Dzadzaeva, M. A. Pliev
We consider linear narrow operators on lattice-normed spaces. We prove that, under mild assumptions, every finite rank linear operator is strictly narrow (before it was known that…
math.FA2015
Domination Problem for Narrow Orthogonally Additive Operators
Marat A. Pliev
The "Up-and-down" theorem which describes the structure of the Boolean algebra of fragments of a linear positive operator is the well known result of the operator theory. We prove…