31 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Russian Academy of SciencesRU15 papers
- Sobolev Institute of MathematicsRU5 papers
- Nankai UniversityCN3 papers
- Southern Federal UniversityRU3 papers
- Altai State Technical UniversityRU2 papers
- National Research Nuclear University MEPhIRU2 papers
- North Ossetian State UniversityRU2 papers
- Siberian Branch of the Russian Academy of SciencesRU2 papers
- University of YorkGB2 papers
- Bauman Moscow State Technical UniversityRU1 paper
- Capital Normal UniversityCN1 paper
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX1 paper
8 papers · 1 filter
Norms of generalized derivations with values in symmetric spaces
J. Huang, M. Pliev, F. Sukochev +1
Let be the -algebra of all bounded linear operators on a Hilbert space . A classical result due to Stamplfi shows that, for any ,…
Stone--Weierstrass Approximation Revisited
A. G. Kusraev, S. S. Kutateladze
The aim of the present article is to extend the Stone--Weierstrass theorem to functions ranging in a lattice normed space and order rather than topological approximation. We procee…
Two Applications of Boolean Valued Analysis
A. G. Kusraev, S. S. Kutateladze
The paper contains two main results that are obtained by Boolean valued analysis. The first asserts that a universally complete vector lattice without locally one-dimensional bands…
Narrow Orthogonally Additive Operators on Lattice-Normed Spaces
Xiao Chun Fang, Marat Pliev
The aim of this article is to extend results of M.~Popov and second named author about orthogonally additive narrow operators on vector lattices. The main object of our investigati…
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…
Quasidifferentials in Kantorovich Spaces
E. K. Basaeva, A. G. Kusraev, S. S. Kutateladze
This is an overview of the quasidifferential calculus for the mappings that arrive at Kantorovich spaces. The necessary optimality conditions are also derived for multiple criteria…
Boolean Valued Analysis of Order Bounded Operators
A. G. Kusraev, S. S. Kutateladze
This is a survey of some recent applications of Boolean valued models of set theory to order bounded operators in vector lattices.
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…