18 citations · 127 across the 50 of their papers we have counts for
17 papers · 1 filter
Dido's Problem and Beyond
S. S. Kutateladze
We overview the main ideas and techniques of the functional-analytical approach to some extremal problems of convex geometry that stem from the Queen Dido problem.
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…
A Class of Second Order Tangent Sets
S. S. Kutateladze
Under consideration are the construction and properties of some special class of second other tangent sets on using the technique of nonstandard analysis.
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…