Monotone Operators in Vector Lattices and Lattice-Normed Spaces Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2025, Volume: 66, Number: 3, Pages: 826-831 Pages count : 6 DOI: 10.1134/S0037446625030188 | ||
| Tags | Riesz space, Banach lattice, lattice homomorphism, positive isometry, order isomorphism, lattice-normed space, Banach--Kantorovich space, Banach bundle, measurable section, lifting | ||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
We show that every monotone linear operator from a vector lattice to a lattice-normed space can be represented as the composition of a surjective lattice homomorphism and a linear isometry. We also give some applications to the theory of continuous and measurable bundles of Banach lattices.
Cite:
Gutman A.E.
Monotone Operators in Vector Lattices and Lattice-Normed Spaces
Siberian Mathematical Journal. 2025. V.66. N3. P.826-831. DOI: 10.1134/S0037446625030188 WOS Scopus РИНЦ OpenAlex
Monotone Operators in Vector Lattices and Lattice-Normed Spaces
Siberian Mathematical Journal. 2025. V.66. N3. P.826-831. DOI: 10.1134/S0037446625030188 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Mar 24, 2025 |
| Accepted: | Mar 26, 2025 |
| Published print: | Jun 2, 2025 |
| Published online: | Jun 2, 2025 |
Identifiers:
| Web of science: | WOS:001500903100012 |
| Scopus: | 2-s2.0-105007087295 |
| Elibrary: | 82395844 |
| OpenAlex: | W4410947156 |
Citing:
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