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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.03371 |
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| _version_ | 1866909565127229440 |
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| author | Mohit Jain, Ranjana |
| author_facet | Mohit Jain, Ranjana |
| contents | In this article, we characterize the left symmetric points in $C(K,X)$, where $K$ is a compact Hausdorff space and $X$ is a Banach space. We also provide necessary and sufficient conditions for the right symmetric points in $C(K,X)$. Further, we identify the smooth points in the space $C_0(K,X)$, $K$ being locally compact Hausdorff space and $X$ being a Banach space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local symmetry and smoothness in the space of vector-valued continuous functions Mohit Jain, Ranjana Functional Analysis 46E15, 46E40 In this article, we characterize the left symmetric points in $C(K,X)$, where $K$ is a compact Hausdorff space and $X$ is a Banach space. We also provide necessary and sufficient conditions for the right symmetric points in $C(K,X)$. Further, we identify the smooth points in the space $C_0(K,X)$, $K$ being locally compact Hausdorff space and $X$ being a Banach space. |
| title | Local symmetry and smoothness in the space of vector-valued continuous functions |
| topic | Functional Analysis 46E15, 46E40 |
| url | https://arxiv.org/abs/2504.03371 |