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

oτ -Continuous, Lebesgue, KB, and Levi Operators Between Vector Lattices and Topological Vector Spaces Full article

Journal

Results in Mathematics
ISSN: 1422-6383

Output data

Year: 2022, Volume: 77, Number: 3, Article number : 117, Pages count : DOI: 10.1007/s00025-022-01650-3

Tags

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

Authors

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

Affiliations

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

Submitted:	Oct 24, 2021
Accepted:	Mar 17, 2022
Published online:	Apr 19, 2022

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

DB	Citing
Scopus	7
Web of science	6
OpenAlex	4
Elibrary	3