Quotients of Banach algebras acting on $L^p$-spaces

Eusebio Gardella; Hannes Thiel

arxiv: 1412.3985 · v2 · pith:TUJYOBKHnew · submitted 2014-12-12 · 🧮 math.OA · math.FA

Quotients of Banach algebras acting on L^p-spaces

Eusebio Gardella , Hannes Thiel This is my paper

classification 🧮 math.OA math.FA

keywords algebrasbanachquotientsspacesactinganswersaskedclass

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We show that the class of Banach algebras that can be isometrically represented on an $L^p$-space, for $p\neq 2$, is not closed under quotients. This answers a question asked by Le Merdy 20 years ago. Our methods are heavily reliant on our earlier study of Banach algebras generated by invertible isometries of $L^p$-spaces.

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Quotients of Banach algebras acting on L^p-spaces

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