The Operator Amenability of Uniform Algebras

Volker Runde

doi:10.4153/cmb-2003-058-6

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The Operator Amenability of Uniform Algebras

Volker Runde

Year: 2003 Journal: Canadian Mathematical Bulletin Vol: 46 (4)Pages: 632-634 Publisher: Cambridge University Press

DOI: 10.4153/cmb-2003-058-6

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Abstract

Abstract 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:

Mathematics Operator algebra Commutative property Operator (biology) Algebra over a field Compact operator Pure mathematics Operator space Finite-rank operator Shift operator Banach space Extension (predicate logic) Computer science

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Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

The Operator Amenability of Uniform Algebras

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