Boolean Valued Analysis of Banach Spaces Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2024, Volume: 65, Number: 1, Pages: 190-233 Pages count : 44 DOI: 10.1134/S0037446624010178 | ||||
| Tags | Boolean valued analysis, Banach space, lattice norm, mixed norm, Kantorovich space, cyclic Banach space, Banach mixed normed space, Maharam operator, injective Banach lattice | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
| 2 | Министерство науки и высшего образования РФ | 075-02-2023-914 |
Abstract:
We implement the Boolean valued analysis of
Banach spaces. The realizations of Banach spaces in a~Boolean valued universe
are lattice normed spaces. We present the basic techniques of studying these objects
as well as the Boolean valued approach to injective Banach lattices.
Cite:
Kusraev A.G.
, Kutateladze S.S.
Boolean Valued Analysis of Banach Spaces
Siberian Mathematical Journal. 2024. V.65. N1. P.190-233. DOI: 10.1134/S0037446624010178 WOS Scopus РИНЦ РИНЦ OpenAlex
Boolean Valued Analysis of Banach Spaces
Siberian Mathematical Journal. 2024. V.65. N1. P.190-233. DOI: 10.1134/S0037446624010178 WOS Scopus РИНЦ РИНЦ OpenAlex
Dates:
| Submitted: | Nov 17, 2023 |
| Accepted: | Nov 28, 2023 |
| Published print: | Feb 7, 2024 |
| Published online: | Feb 7, 2024 |
Identifiers:
| Web of science: | WOS:001158248700010 |
| Scopus: | 2-s2.0-85188291260 |
| Elibrary: | 65966821 | 67311560 |
| OpenAlex: | W4391620297 |
Citing:
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