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Multiplicative order continuous operators on Riesz algebras Full article

Journal Matematicki Vesnik
ISSN: 0025-5165
Output data Year: 2025, Volume: 77, Number: 2, Pages: 110-119 Pages count : 10 DOI: 10.57016/MV-R79EJZ17
Tags Riesz space; relatively uniform convergence; multiplicative order convergence; mo -continuous operator; o mo -continuous operator; Riesz algebra; d-algebra; mo -bounded operator; mo - KB operator.
Authors Aydın Abdullah 3 , Emelyanov Eduard 1 , Gorokhova Svetlana 2
Affiliations
1 Sobolev Institute of Mathematics
2 Uznyj matematiceskij institut VNC RAN
3 Department of Mathematics, Mus Alparslan University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0004

Abstract: In this paper, we investigate operators on Riesz algebras, which are continuous with respect to multiplicative modifications of order convergence and relatively uniform convergence. We also introduce and study m o -Lebesgue, mo - KB , and mo -Levi operators.
Cite: Aydın A. , Emelyanov E. , Gorokhova S.
Multiplicative order continuous operators on Riesz algebras
Matematicki Vesnik. 2025. V.77. N2. P.110-119. DOI: 10.57016/MV-R79EJZ17 WOS РИНЦ OpenAlex
Dates:
Submitted: Oct 22, 2022
Published online: Aug 13, 2024
Published print: Apr 21, 2025
Identifiers:
Web of science: WOS:001472390900003
Elibrary: 74330979
OpenAlex: W4401534350
Citing: Пока нет цитирований
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