$L^p$-modules and $L^p$-correspondences
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912721461575680 |
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| author | Delfín, Alonso |
| author_facet | Delfín, Alonso |
| contents | We introduce an $L^p$-operator algebraic analogue of Hilbert C*- modules. We present the theory of concrete $L^p$-modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define $L^p$-correspondences and the interior tensor product of these. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10789 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $L^p$-modules and $L^p$-correspondences Delfín, Alonso Functional Analysis Operator Algebras Primary 46H15, 46H35, Secondary 46L08, 47L10 We introduce an $L^p$-operator algebraic analogue of Hilbert C*- modules. We present the theory of concrete $L^p$-modules, their morphisms, and basic constructions including countable direct sums and tensor products. We then define $L^p$-correspondences and the interior tensor product of these. |
| title | $L^p$-modules and $L^p$-correspondences |
| topic | Functional Analysis Operator Algebras Primary 46H15, 46H35, Secondary 46L08, 47L10 |
| url | https://arxiv.org/abs/2410.10789 |