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pro vyhledávání: '"Kusraev, A. G."'
Autor:
Kusraev, A. G., Kutateladze, S. S.
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 proceed with the machinery of Boolean valued transfer from lattice normed sp
Externí odkaz:
http://arxiv.org/abs/2210.14587
Autor:
NISHIMURA, Hirokazu
Publikováno v:
zbMATH Open.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::cba1a90b42ddfdccccbc14dbfa10ed48
https://tsukuba.repo.nii.ac.jp/records/2002400
https://tsukuba.repo.nii.ac.jp/records/2002400
Autor:
Kusraev, A. G., Kutateladze, S. S.
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 $L^1$-predual space if and only if it is a simplex space. In 2007 Duan and Lin proved that a real Bana
Externí odkaz:
http://arxiv.org/abs/1910.08299
Autor:
Kusraev, A. G., Kutateladze, S. S.
Publikováno v:
Siberian Mathematical Journal, 2019, Vol.60, No.5, 902-910
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 can be decomposed into a direct sum of two vector sublattices that ar
Externí odkaz:
http://arxiv.org/abs/1908.02471
Autor:
Kusraev, A. G.1,2 (AUTHOR), Kutateladze, S. S.3 (AUTHOR) sskut@math.nsc.ru
Publikováno v:
Siberian Mathematical Journal. Jul2023, Vol. 64 Issue 4, p1001-1034. 34p.
Autor:
Kusraev, A. G., Kutateladze, S. S.
This is a survey of some recent applications of Boolean valued analysis to operator theory and harmonic analysis. Under consideration are pseudoembedding operators, the noncommutative Wickstead problem, the Radon-Nikodym Theorem for JB-algebras, and
Externí odkaz:
http://arxiv.org/abs/1502.04910
Akademický článek
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Akademický článek
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Publikováno v:
J. Optim. Theory Appl.,168:3, 1-19 (2016)
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 optimization problems with quasidifferentiable data.
Comment: So
Comment: So
Externí odkaz:
http://arxiv.org/abs/1412.8468
Autor:
Kusraev, A. G., Kutateladze, S. S.
Publikováno v:
J.Math.Sci., 218:5, 609--635 (2016)
This is a survey of some recent applications of Boolean valued models of set theory to order bounded operators in vector lattices.
Comment: Some misprints are corrected and Subsection 3.5 on bilinear disjointness preserving operators is added
Comment: Some misprints are corrected and Subsection 3.5 on bilinear disjointness preserving operators is added
Externí odkaz:
http://arxiv.org/abs/1408.3927