Vol. 43, No. 3, 1972

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Characterizations of amenable and strongly amenable Cāˆ—-algebras

John Winston Bunce

Vol. 43 (1972), No. 3, 563ā€“572
Abstract

In this paper it is proved that a C-algebra A is strongly amenable iff A satisfies a certain fixed point property when acting on a compact convex set, or iff a certain Hahn-Banach type extension theorem is true for all Banach A-modules. It is proved that a C-algebra A is amenable iff A satisfies a weaker Hahn-Banach type extension theorem.

Mathematical Subject Classification 2000
Primary: 46L05
Milestones
Received: 27 September 1971
Published: 1 December 1972
Authors
John Winston Bunce