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The Operator Amenability of Uniform Algebras

Published online by Cambridge University Press:  20 November 2018

Volker Runde
Volker Runde*
Affiliation:
Department of Mathematical and Statistical Sciences University of Alberta Edmonton, Alberta T6G 2G1, e-mail: vrunde@ualberta.ca website: http://www.math.ualberta.ca/∼runde/
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Abstract

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

Keywords

46H2046H2546J1046J4047L25uniform algebrasamenable Banach algebrasoperator amenabilityminimal operator space
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 4 , 01 December 2003 , pp. 632 - 634
Copyright
Copyright © Canadian Mathematical Society 2003

References

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