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Corrigendum: amenability of ultrapowers of Banach algebras

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  16 August 2010

Matthew Daws
Matthew Daws
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT, UK ([email protected])
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Abstract

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Some of the results of § 5 of the cited paper are incorrect: in particular, the characterization of when an algebra is ultra-amenable, in terms of a diagonal like construction, is not proved; and Theorem 5.7 is stated wrongly. The rest of the paper is unaffected. We shall show in this corrigendum that Theorem 5.7 can be corrected and that the other results of § 5 are true if the algebra in question has a certain approximation property.

Keywords

Banach algebraArens productsultrapoweramenabilitytensor product

MSC classification

Secondary: 46B08: Ultraproduct techniques in Banach space theory 46B28: Spaces of operators; tensor products; approximation properties
Type
Corrigenda
Information
Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 633 - 637
Copyright
Copyright © Edinburgh Mathematical Society 2010

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