Abstract of a paper by Eusebio Gardella and Hannes Thiel
This is an announcement for the paper "Quotients of Banach algebras acting on $L^p$-spaces" by Eusebio Gardella and Hannes Thiel. 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. Archive classification: math.OA math.FA Mathematics Subject Classification: Primary: 47L10, 43A15. Secondary: 46J10 Remarks: 7 pages Submitted from: gardella@uoregon.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1412.3985 or http://arXiv.org/abs/1412.3985
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