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On the weak amenability of A(X) and its relation with the approximation property*

Blanco, A

Description

We investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).

dc.contributor.authorBlanco, A
dc.date.accessioned2015-12-13T23:06:04Z
dc.date.available2015-12-13T23:06:04Z
dc.identifier.issn0022-1236
dc.identifier.urihttp://hdl.handle.net/1885/85850
dc.description.abstractWe investigate the weak amenability of the algebra A(X) of approximable operators on a Banach space X, and its relation with the (bounded) approximation property. In particular, it will be shown that the (bounded) approximation property is neither necessary nor sufficient for the weak amenability of A(X).
dc.publisherAcademic Press
dc.sourceJournal of Functional Analysis
dc.subjectKeywords: Approximable operator; Approximation property; Banach algebra; Weak amenability
dc.titleOn the weak amenability of A(X) and its relation with the approximation property*
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume203
dc.date.issued2003
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationMigratedxPub14518
local.type.statusPublished Version
local.contributor.affiliationBlanco, A, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage26
local.identifier.doi10.1016/S0022-1236(02)00050-2
dc.date.updated2015-12-12T08:03:32Z
local.identifier.scopusID2-s2.0-0042762622
CollectionsANU Research Publications

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