oτ -Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces | Sciact - Система учета научной деятельности ИМ СО РАН

oτ -Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces Научная публикация

Журнал

Results in Mathematics
ISSN: 1422-6383

Вых. Данные

Год: 2022, Том: 77, Номер: 3, Номер статьи : 117, Страниц : DOI: 10.1007/s00025-022-01650-3

Ключевые слова

adjoint operator; Banach lattice; domination property; locally solid lattice; order convergence; Topological vector space

Авторы

Alpay S. ¹ , Emelyanov E. ² , Gorokhova S. ³

Организации

1	Department of Mathematics, Middle East Technical University, Ankara, 06800, Turkey
2	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
3	Uznyj Matematiceskij Institut VNC RAN, Vladikavkaz, 362027, Russian Federation

We investigate oτ-continuous/bounded/compact and Lebesgue operators from vector lattices to topological vector spaces; the Kantorovich-Banach operators between locally solid lattices and topological vector spaces; and the Levi operators from locally solid lattices to vector lattices. The main idea of operator versions of notions related to vector lattices lies in redistributing topological and order properties of a topological vector lattice between the domain and range of an operator under investigation. Domination properties for these classes of operators are studied.

Alpay S. , Emelyanov E. , Gorokhova S.
oτ -Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces
Results in Mathematics. 2022. V.77. N3. 117 . DOI: 10.1007/s00025-022-01650-3 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	24 окт. 2021 г.
Принята к публикации:	17 мар. 2022 г.
Опубликована online:	19 апр. 2022 г.

Web of science:	WOS:000785343700002
Scopus:	2-s2.0-85128511447
РИНЦ:	48431328
OpenAlex:	W3158310174

БД	Цитирований
Scopus	11
Web of science	8
OpenAlex	4
РИНЦ	4