Multipliers of closed ideals in group algebras
HTML articles powered by AMS MathViewer
- by Stephen H. Friedberg PDF
- Proc. Amer. Math. Soc. 41 (1973), 541-542 Request permission
Abstract:
The purpose of this paper is to show that the multipliers of a special class of closed ideals in group algebras are “trivial", and that a result of Y. Meyer for groups of the form ${R^n} \times {T^m}$ concerning the existence of nontrivial multipliers cannot be extended to any disconnected group.References
- Paul J. Cohen, On a conjecture of Littlewood and idempotent measures, Amer. J. Math. 82 (1960), 191–212. MR 133397, DOI 10.2307/2372731
- Raouf Doss, Approximations and representations for Fourier transforms, Trans. Amer. Math. Soc. 153 (1971), 211–221. MR 268597, DOI 10.1090/S0002-9947-1971-0268597-9
- Yves Meyer, Endomorphismes des idéaux fermés de $L^{1}\,(G)$, classes de Hardy et séries de Fourier lacunaires, Ann. Sci. École Norm. Sup. (4) 1 (1968), 499–580 (French). MR 240563
- Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 541-542
- MSC: Primary 43A22
- DOI: https://doi.org/10.1090/S0002-9939-1973-0326308-X
- MathSciNet review: 0326308