Zobrazeno 1 - 10
of 5 383
pro vyhledávání: '"Emelyanov AS"'
It is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space to an ordered vector space is collectively order bounded; each collectively order to norm bounded set of operators from an ordered Banach
Externí odkaz:
http://arxiv.org/abs/2410.17030
Autor:
Emelyanov, Eduard
A collectively $\sigma$-Levi set of operators is a generalization of the $\sigma$-Levi operator. By use of collective order convergence, we investigate relations between collectively $\sigma$-Levi and collectively compact sets of operators.
Externí odkaz:
http://arxiv.org/abs/2408.03686
Autor:
Emelyanov, Eduard
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated. It is proved that every collectively order continuous set of operators between Archimedean vector latti
Externí odkaz:
http://arxiv.org/abs/2408.03671
We prove collective versions of semi-duality theorems for sets of almost (limitedly, order) L-weakly compact operators.
Externí odkaz:
http://arxiv.org/abs/2407.11885
Autor:
Emelyanov, Eduard
A set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact set
Externí odkaz:
http://arxiv.org/abs/2407.10455
Variational inequalities offer a versatile and straightforward approach to analyzing a broad range of equilibrium problems in both theoretical and practical fields. In this paper, we consider a composite generally non-monotone variational inequality
Externí odkaz:
http://arxiv.org/abs/2403.14981
We study operators carrying disjoint bounded subsets of a Banach lattice into compact, weakly compact, and limited subsets of a Banach space. Surprisingly, these operators behave differently with classical compact, weakly compact, and limited operato
Externí odkaz:
http://arxiv.org/abs/2401.08792
Autor:
Fenogenova, Alena, Chervyakov, Artem, Martynov, Nikita, Kozlova, Anastasia, Tikhonova, Maria, Akhmetgareeva, Albina, Emelyanov, Anton, Shevelev, Denis, Lebedev, Pavel, Sinev, Leonid, Isaeva, Ulyana, Kolomeytseva, Katerina, Moskovskiy, Daniil, Goncharova, Elizaveta, Savushkin, Nikita, Mikhailova, Polina, Dimitrov, Denis, Panchenko, Alexander, Markov, Sergei
Over the past few years, one of the most notable advancements in AI research has been in foundation models (FMs), headlined by the rise of language models (LMs). As the models' size increases, LMs demonstrate enhancements in measurable aspects and th
Externí odkaz:
http://arxiv.org/abs/2401.04531
Autor:
Emelyanov, Eduard
We prove that an order continuous Banach lattice E is a KB-space if and only if each positive compact operator on E is a KB operator. We give conditions on quasi-KB (resp., quasi-Levi) operators to be KB (resp., Levi), study norm completeness and dom
Externí odkaz:
http://arxiv.org/abs/2312.05685
Autor:
T. L. Kuraeva, A. V. Karpushkina, E. A. Andrianova, I. M. Valkova, T. V. Yakovleva, A. O. Emelyanov, E. A. Sechko, Z. G. Bezrukova, E. B. Khramova, Y. V. Girsh, I. V. Gunbina, V. A. Peterkova
Publikováno v:
Сахарный диабет, Vol 27, Iss 5, Pp 401-410 (2024)
Despite significant progress in the treatment of T1DM in children, achieving target levels of carbohydrate metabolism in children remains one of the most difficult tasks. The influence of the psychosocial state of the family on the ability to achieve
Externí odkaz:
https://doaj.org/article/f87054a9f7d24ed29b4a946d508a3e8c