Daws, M (2010) Weakly almost periodic functionals on the measure algebra. Mathematische Zeitschrift, 265 (2). 285 - 296. ISSN 0025-5874
Abstract
It is shown that the collection of weakly almost periodic functionals on the convolution algebra of a commutative Hopf von Neumann algebra is a C*-algebra. This implies that the weakly almost periodic functionals on M(G), the measure algebra of a locally compact group G, is a C*-subalgebra of M(G)* = C(G)**. The proof builds upon a factorisation result, due to Young and Kaiser, for weakly compact module maps. The main technique is to adapt some of the theory of corepresentations to the setting of general reflexive Banach spaces.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2010, Springer Verlag. This is an author produced version of a paper published in Mathematische Zeitschrift. Uploaded in accordance with the publisher's self-archiving policy. The final publication is available at link.springer.com |
Keywords: | Measure algebra; Weakly almost periodic; Hopf von Neumann algebra; Locally Compact-Groups; Banach-Algebras; Representations |
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 11:53 |
Last Modified: | 15 Sep 2014 02:35 |
Published Version: | http://dx.doi.org/10.1007/s00209-009-0515-x |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s00209-009-0515-x |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:77181 |