The operator amenability of uniform algebras

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We prove a quantized version of a theorem by M. V. Sheinberg: A uniform algebra equipped with its canonical, i.e. minimal, operator space structure is operator amenable if and only if it is a commutative $C^\ast$-algebra.
4 pages

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Functional Analysis, Operator Algebras, 46H20, 46H25, 46J10 (primary), 46J40, 47L25

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http://salesiana.dossiersoluciones.com/handle/123456789/64227

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206042
 http://arxiv.org/abs/math/0206042
 Canad. Math. Bull. 46 (2003), 632-634

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arXiv