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arXiv · 2512.05708

Arens products for some convolution algebras of measures

Viktor Losert
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Abstract

We consider the measure algebra of a Ch\'ebli-\!Trim\`eche hypergroup (in particular, double coset spaces of classical Lie groups) and study the corresponding Arens products on its second dual. The behaviour turns out to be different to the group case investigated in [LNPS]. For this, we study more closely properties of the multiplication and generalized translation in a Ch\'ebli-\!Trim\`eche hypergroup and the asymptotic behaviour.

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Viktor Losert. 2025-12-05. Arens products for some convolution algebras of measures. https://arxiv.org/abs/2512.05708

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