Some geometric properties of spaces of vector-valued integrable functions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866915227118862336 |
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| author | Mohit Jain, Ranjana |
| author_facet | Mohit Jain, Ranjana |
| contents | We identify the smooth points of $L^1(μ,X)$, and provide some necessary and sufficient conditions for left and right symmetry of points with respect to Birkhoff-James orthogonality in $L^p(μ,X), 1\leq p<\infty$, where $μ$ is any complete positive measure and $X$ is a Banach space with some suitable properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03798 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some geometric properties of spaces of vector-valued integrable functions Mohit Jain, Ranjana Functional Analysis We identify the smooth points of $L^1(μ,X)$, and provide some necessary and sufficient conditions for left and right symmetry of points with respect to Birkhoff-James orthogonality in $L^p(μ,X), 1\leq p<\infty$, where $μ$ is any complete positive measure and $X$ is a Banach space with some suitable properties. |
| title | Some geometric properties of spaces of vector-valued integrable functions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2411.03798 |