Decomposable operators acting between distinct Lp-direct integrals of Banach spaces Full article
| Journal |
Analysis Mathematica
ISSN: 0133-3852 , E-ISSN: 1588-273X |
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| Output data | Year: 2024, Volume: 50, Number: 3, Pages: 861–892 Pages count : 32 DOI: 10.1007/s10476-024-00044-7 | ||||
| Tags | direct integral, Lp-direct integral, composition operator, decomposable operator, mixed-norm Lebesgue space. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0006 |
Abstract:
The notion of decomposable operators acting between distinct Lp-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator in the sense that a binary relation replaces a mapping. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper.
Cite:
Evseev N.
, Menovschikov A.
Decomposable operators acting between distinct Lp-direct integrals of Banach spaces
Analysis Mathematica. 2024. V.50. N3. P.861–892. DOI: 10.1007/s10476-024-00044-7 WOS Scopus РИНЦ OpenAlex
Decomposable operators acting between distinct Lp-direct integrals of Banach spaces
Analysis Mathematica. 2024. V.50. N3. P.861–892. DOI: 10.1007/s10476-024-00044-7 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 29, 2023 |
| Accepted: | Feb 5, 2024 |
| Published print: | Sep 15, 2024 |
| Published online: | Sep 15, 2024 |
Identifiers:
| Web of science: | WOS:001313686600007 |
| Scopus: | 2-s2.0-85203960688 |
| Elibrary: | 74722488 |
| OpenAlex: | W3217532232 |
Citing:
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