Approximate Birkhoff-James orthogonality preserver on Lebesgue-Bochner spaces
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917186645262336 |
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| author | Mohit Jain, Ranjana |
| author_facet | Mohit Jain, Ranjana |
| contents | In this article, we examine an approximate version of Koldobsky-Blanco-Turnšek theorem (namely, Property P) in the space of vector-valued integrable functions. More precisely, we prove that the Lebesgue-Bochner spaces $L^p(μ,X),\;(1\leq p<\infty)$, do not have Property P under certain conditions on $μ$ and the Banach space $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02786 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximate Birkhoff-James orthogonality preserver on Lebesgue-Bochner spaces Mohit Jain, Ranjana Functional Analysis 46B20, 46B04, 46E40, 46G10 In this article, we examine an approximate version of Koldobsky-Blanco-Turnšek theorem (namely, Property P) in the space of vector-valued integrable functions. More precisely, we prove that the Lebesgue-Bochner spaces $L^p(μ,X),\;(1\leq p<\infty)$, do not have Property P under certain conditions on $μ$ and the Banach space $X$. |
| title | Approximate Birkhoff-James orthogonality preserver on Lebesgue-Bochner spaces |
| topic | Functional Analysis 46B20, 46B04, 46E40, 46G10 |
| url | https://arxiv.org/abs/2601.02786 |