Complemented subspaces of Banach lattices
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913939614334976 |
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| author | de Hevia, David Tradacete, Pedro |
| author_facet | de Hevia, David Tradacete, Pedro |
| contents | We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a $C(K)$-space which is not linearly isomorphic to any Banach lattice. Motivated by this, several natural questions and directions of future research are presented. We provide an approach to some of these problems using tools from the theory of free Banach lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Complemented subspaces of Banach lattices de Hevia, David Tradacete, Pedro Functional Analysis 46B42, 46B03 We survey recent developments on the structure of complemented subspaces of Banach lattices, including in particular the construction of a complemented subspace of a $C(K)$-space which is not linearly isomorphic to any Banach lattice. Motivated by this, several natural questions and directions of future research are presented. We provide an approach to some of these problems using tools from the theory of free Banach lattices. |
| title | Complemented subspaces of Banach lattices |
| topic | Functional Analysis 46B42, 46B03 |
| url | https://arxiv.org/abs/2505.24084 |