A remark on contractible Banach algebras
Functional Analysis
2011-10-31 v1
Abstract
It is a longstanding problem whether every contractible Banach algebra is necessarily finite-dimensional. In this note, we confirm this for Banach algebras acting on Banach spaces with the uniform approximation property. This generalizes a result of Paulsen and Smith who proved the same for Banach algebras acting on Hilbert spaces.
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Cite
@article{arxiv.1110.6216,
title = {A remark on contractible Banach algebras},
author = {Narutaka Ozawa},
journal= {arXiv preprint arXiv:1110.6216},
year = {2011}
}
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3 pages