Daws, M (2010) p-Operator spaces and Figà-Talamanca-Herz algebras. Journal of Operator Theory, 63 (1). 47 - 83. ISSN 0379-4024
Abstract
We study a generalisation of operator spaces modelled on L spaces, instead of Hilbert spaces, using the notion of p-complete boundedness, as studied by Pisier and Le Merdy. We show that the Figà-Talamanca-Herz algebras A(G) become quantised Banach algebras in this framework, and that amenability of these algebras corresponds to amenability of the locally compact group G, extending the result of Ruan about A(G). We also show that various notions of multipliers of A(G) (including Herz's generalisation of the Fourier-Stieltjes algebra) naturally fit into this framework.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Keywords: | Amenability; Figà-Talamanca-Herz algebra; Locally compact group; Multiplier algebra; Operator space; SQp-space |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Dec 2013 10:32 |
Last Modified: | 15 Sep 2014 02:36 |
Published Version: | http://www.theta.ro/jot.html |
Status: | Published |
Publisher: | Institute of Mathematics of the Romanian Academy |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77176 |