Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866910710558097408 |
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| author | Evseev, Nikita Menovschikov, Alexander |
| author_facet | Evseev, Nikita Menovschikov, Alexander |
| contents | The notion of decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator, in sense that a mapping is replaced by a binary relation. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_02983 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces Evseev, Nikita Menovschikov, Alexander Functional Analysis 47B38 (Primary), 47B33, 46E30 (Secondary) The notion of decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces is introduced. We show that these operators generalize the composition operator, in sense that a mapping is replaced by a binary relation. The necessary and sufficient conditions for the boundedness of those operators are the main results of the paper. |
| title | Decomposable operators acting between distinct $L^p$-direct integrals of Banach spaces |
| topic | Functional Analysis 47B38 (Primary), 47B33, 46E30 (Secondary) |
| url | https://arxiv.org/abs/1902.02983 |