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arXiv · 1412.3985

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

Eusebio Gardella·Hannes Thiel
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Abstract

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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Eusebio Gardella, Hannes Thiel. 2016-03-29. Quotients of Banach algebras acting on $L^p$-spaces. https://doi.org/10.1016/j.aim.2016.03.040

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