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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Operator weak amenability of the Fourier algebra


Author: Nico Spronk
Journal: Proc. Amer. Math. Soc. 130 (2002), 3609-3617
MSC (2000): Primary 46L07; Secondary 43A07
Published electronically: June 11, 2002
MathSciNet review: 1920041
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Abstract: We show that for any locally compact group $G$, the Fourier algebra $\mathrm{A}(G)$is operator weakly amenable.


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Additional Information

Nico Spronk
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
Email: nspronk@math.uwaterloo.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06680-7
PII: S 0002-9939(02)06680-7
Keywords: Fourier algebra, operator space, weakly amenable Banach algebra
Received by editor(s): July 6, 2001
Published electronically: June 11, 2002
Additional Notes: This work was supported by an Ontario Graduate Scholarship.
Communicated by: David R. Larson
Article copyright: © Copyright 2002 American Mathematical Society