Extending multipliers of the Fourier algebra from a subgroup
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- by Michael Brannan and Brian Forrest PDF
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Abstract:
In this paper, we consider various extension problems associated with elements in the closure with respect to either the multiplier norm or the completely bounded multiplier norm of the Fourier algebra of a locally compact group. In particular, we show that it is not always possible to extend an element in the closure with respect to the multiplier norm of the Fourier algebra of the free group on two generators to a multiplier of the Fourier algebra of $SL(2,\mathbb {R})$.References
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Additional Information
- Michael Brannan
- Affiliation: Department of Mathematics and Statistics, Queen’s University, 99 University Avenue, Kingston, ON, Canada, K7L 3N6
- MR Author ID: 887928
- Email: mbrannan@mast.queensu.ca
- Brian Forrest
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada, N2L 3G1
- Email: beforrest@uwaterloo.ca
- Received by editor(s): April 13, 2011
- Received by editor(s) in revised form: April 1, 2012
- Published electronically: January 16, 2014
- Communicated by: Marius Junge
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 1181-1191
- MSC (2000): Primary 43A30, 43A22; Secondary 46L07, 22D25, 22D10
- DOI: https://doi.org/10.1090/S0002-9939-2014-11824-7
- MathSciNet review: 3162241