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arXiv · 1905.00226

Abstract Structure of Measure Algebras on Coset Spaces of Compact Subgroups in Locally Compact Groups

Arash Ghaani Farashahi
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Abstract

This paper presents a systematic operator theory approach for abstract structure of Banach measure algebras over coset spaces of compact subgroups. Let $H$ be a compact subgroup of a locally compact group $G$ and $G/H$ be the left coset space associated to the subgroup $H$ in $G$. Also, let $M(G/H)$ be the Banach measure space consists of all complex measures over $G/H$. We then introduce an operator theoretic characterization for the abstract notion of involution over the Banach measure space $M(G/H)$.

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Arash Ghaani Farashahi. 2019-05-01. Abstract Structure of Measure Algebras on Coset Spaces of Compact Subgroups in Locally Compact Groups. https://arxiv.org/abs/1905.00226

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