In this paper, we study geometric properties of 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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Akhymbek et al. (2024) studied this question.
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