Caracterisation of Frechet differentiability norm for dual complex Banach spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914727457718272 |
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| author | Daher, Mohammad |
| author_facet | Daher, Mohammad |
| contents | Let X be a complex Banach space, in this work we characterize the property of Frechet differentiability for the dual space of X. In the following, we show that if the dual space of X is Gateaux differentiable, then the dual space of Lp(X) has the same property for all p betwwen one and infiniy |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16213 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Caracterisation of Frechet differentiability norm for dual complex Banach spaces Daher, Mohammad Functional Analysis 46B70 F.2.2; I.2.7 Let X be a complex Banach space, in this work we characterize the property of Frechet differentiability for the dual space of X. In the following, we show that if the dual space of X is Gateaux differentiable, then the dual space of Lp(X) has the same property for all p betwwen one and infiniy |
| title | Caracterisation of Frechet differentiability norm for dual complex Banach spaces |
| topic | Functional Analysis 46B70 F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2403.16213 |