Article
| Title: | On symmetricity of orthogonality in function spaces and space of operators on Banach spaces (English) |
| Author: | Sohel, Shamim |
| Author: | Sain, Debmalya |
| Author: | Paul, Kallol |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 191-219 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study symmetric points with respect to $(\rho _+)$-orthogonality, $(\rho _{-})$-orthogonality and $\rho $-orthogonality in the space $C(K, \mathbb {X}),$ where $K$ is a perfectly normal, compact space and $ \mathbb X$ is a Banach space. We characterize left symmetric points and right symmetric points in $C(K, \mathbb {X})$ with respect to $(\rho _{+})$-orthogonality and $(\rho _{-})$-orthogonality, separately. Furthermore, we provide necessary conditions for left symmetric and right symmetric points with respect to $\rho $-orthogonality. As an application of these results we also study these symmetric points in the space of operators defined on some special Banach spaces. (English) |
| Keyword: | $\rho $-orthogonality |
| Keyword: | left symmetric point |
| Keyword: | right symmetric point |
| Keyword: | space of continuous function |
| Keyword: | linear operator |
| MSC: | 46B20 |
| MSC: | 47L05 |
| DOI: | 10.21136/CMJ.2026.0215-25 |
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| Date available: | 2026-03-13T09:32:09Z |
| Last updated: | 2026-03-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153568 |
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