On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912731242692608 |
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| author | Akhymbek, Meiram Ruzhansky, Michael |
| author_facet | Akhymbek, Meiram Ruzhansky, Michael |
| contents | In this paper, we study geometric properties of $\ell^{p}$-spaces associated with the unitary dual of a compact group. More precisely, we prove uniform smoothness, uniform convexity, Clarkson type inequalities, Kadec-Klee property, as well as type and cotype properties of such spaces. We also present duality and complex interpolation results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08337 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups Akhymbek, Meiram Ruzhansky, Michael Functional Analysis In this paper, we study geometric properties of $\ell^{p}$-spaces associated with the unitary dual of a compact group. More precisely, we prove uniform smoothness, uniform convexity, Clarkson type inequalities, Kadec-Klee property, as well as type and cotype properties of such spaces. We also present duality and complex interpolation results. |
| title | On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2404.08337 |