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

 

Some Banach algebras without discontinuous derivations


Author: Brian Forrest
Journal: Proc. Amer. Math. Soc. 114 (1992), 965-970
MSC: Primary 43A07; Secondary 43A15, 46J10
MathSciNet review: 1068120
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Abstract: It is shown that the completion of $ A(G)$ in either the multiplier norm or the completely bounded multiplier norm is a Banach algebra without discontinuous derivations when $ G$ is either $ {F_2}$ or $ \operatorname{SL}(2,\mathbb{R})$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1068120-4
PII: S 0002-9939(1992)1068120-4
Keywords: Fourier algebra, multipliers, completely bounded multiplier, derivation, free group
Article copyright: © Copyright 1992 American Mathematical Society