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Free uniformly complete vector lattices Full article

Journal Positivity
ISSN: 1385-1292 , E-ISSN: 1572-9281
Output data Year: 2024, Volume: 28, Number: 4, Article number : 48, Pages count : 9 DOI: 10.1007/s11117-024-01066-z
Tags Relatively uniform convergence, Free vector lattice, Free uniformly complete vector lattice, Free Banach lattice
Authors Emelyanov Eduard 1 , Gorokhova Svetlana 2
Affiliations
1 Sobolev Institute of Mathematics
2 Uznyj matematiceskij institut VNC RAN

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0004

Abstract: We define a free uniformly complete vector lattice FUCVL(A) over a non-empty set A and give its representation as a sublattice of the space H(RA) of continuous in the product topology positively homogeneous functions on RA.
Cite: Emelyanov E. , Gorokhova S.
Free uniformly complete vector lattices
Positivity. 2024. V.28. N4. 48 :1-9. DOI: 10.1007/s11117-024-01066-z WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Sep 10, 2021
Accepted: Jun 14, 2024
Published print: Jul 5, 2024
Published online: Jul 5, 2024
Identifiers:
Web of science: WOS:001263330900002
Scopus: 2-s2.0-85197473639
Elibrary: 68760353
OpenAlex: W3196527498
Citing: Пока нет цитирований
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