5 citations · 13 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
Geometric Characterization of Preduals of Injective Banach Lattices
A. G. Kusraev, S. S. Kutateladze
The paper deals with the study of Banach spaces whose duals are injective Banach lattices. Davies in 1967 proved that an ordered Banach space is an -predual space if and only…
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…
Some Aspects of Boolean Valued Analysis
A. G. Kusraev, S. S. Kutateladze
This is a survey of some recent applications of Boolean valued analysis to operator theory and harmonic analysis. Under consideration are pseudoembedding operators, the noncommutat…
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.
The Wickstead Problem
A. E. Gutman, A. G. Kusraev, S. S. Kutateladze
In 1977 Anthony Wickstead raised the question of the conditions for all band preserving linear operators to be order bounded in a vector lattice. This article overviews the main id…
Boolean Methods in the Theory of Vector Lattices
A. G. Kusraev, S. S. Kutateladze
This is an overview of the recent results of interaction of Boolean valued analysis and vector lattice theory.