location:  Publications → journals → CMB
Abstract view

# The Operator Amenability of Uniform Algebras

Published:2003-12-01
Printed: Dec 2003
• Volker Runde
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

We prove a quantized version of a theorem by M.~V.~She\u{\i}nberg: A uniform algebra equipped with its canonical, {\it i.e.}, minimal, operator space structure is operator amenable if and only if it is a commutative $C^\ast$-algebra.
 Keywords: uniform algebras, amenable Banach algebras, operator amenability, minimal, operator space
 MSC Classifications: 46H20 - Structure, classification of topological algebras 46H25 - Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) 46J10 - Banach algebras of continuous functions, function algebras [See also 46E25] 46J40 - Structure, classification of commutative topological algebras 47L25 - Operator spaces (= matricially normed spaces) [See also 46L07]

 top of page | contact us | privacy | site map |