Non-reflexivity of the Banach space $ΛBV^{(p)}$
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911270935986176 |
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| author | Mortazavi-Samarin, Batoul S. Rostami, Mehdi |
| author_facet | Mortazavi-Samarin, Batoul S. Rostami, Mehdi |
| contents | In this paper, we show that the Waterman-Shiba space is non-reflexive. In fact, Prus-Wiśniowski and Ruckle, in \cite{1}, generalized the well-known fact that states the space of bounded variation functions is non-reflexive. Here, an improvement of that result is provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_19781 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-reflexivity of the Banach space $ΛBV^{(p)}$ Mortazavi-Samarin, Batoul S. Rostami, Mehdi Functional Analysis 26A45, 26B30, 46B45 A.0 In this paper, we show that the Waterman-Shiba space is non-reflexive. In fact, Prus-Wiśniowski and Ruckle, in \cite{1}, generalized the well-known fact that states the space of bounded variation functions is non-reflexive. Here, an improvement of that result is provided. |
| title | Non-reflexivity of the Banach space $ΛBV^{(p)}$ |
| topic | Functional Analysis 26A45, 26B30, 46B45 A.0 |
| url | https://arxiv.org/abs/2504.19781 |