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arXiv · 2404.08337

On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups

Meiram Akhymbek·Michael Ruzhansky
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Abstract

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.

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Meiram Akhymbek, Michael Ruzhansky. 2024-04-12. On geometric properties of $\ell^{p}$-spaces on unitary duals of compact groups. https://arxiv.org/abs/2404.08337

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