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A characterization of quotient algebras of Ll(G)

Published online by Cambridge University Press:  24 October 2008

Donald E. Ramirez
Donald E. Ramirez
Affiliation:
University of Virginia
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Extract

Let G be a locally compact Abelian group; Γ the dual group of G; C0(Γ) the algebra of continuous functions on Γ which vanish at infinity; CB(Γ) the continuous, bounded functions on Γ; M (G) the algebra of bounded Borel measures on G; L1(G) the algebra of absolutely continuous measures; and M(G)∩ the algebra of Fourier–Stieltjes transforms.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 66 , Issue 3 , November 1969 , pp. 547 - 551
Copyright
Copyright © Cambridge Philosophical Society 1969

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References

REFERENCES

(1)Buck, R. C.Bounded continuous functions on a locally compact space. Michigan Math. J. 5 (1958), 95–104.CrossRefGoogle Scholar
(2)Dunford, N. and Schwartz, J.Linear Operators Part I. (Interscience Publishers; New York, 1958).Google Scholar
(3)Katznelson, Y. and McGehee, C. Measures and pseudomeasures on compact subsets of the line (to appear).Google Scholar
(4)Schaefer, H.Topological vector spaces. (Macmillan; New York, 1966).Google Scholar
(5)Ramirez, D.Uniform approximation by Fourier-Stieltjes Transforms. Proc. Cambridge Philos. Soc. 64 (1968), 323–333.CrossRefGoogle Scholar
(6)Rudin, W.Fourier Analysis on Groups. (Interscience Publishers; New York, 1962).Google Scholar
(7)Rosenthal, H.A characterization of restrictions of Fourier-Stieltjes transforms. Pacific J. Math. 23 (1967), 403–418.CrossRefGoogle Scholar
(8)Vabopoulos, N.On a problem of a A. Beurling. J. functional analysis 2 (1968), 24–30.CrossRefGoogle Scholar
(9)Edwards, R. B.Uniform approximation on noncompact spaces. Trans. Amer. Math. Soc. 122 (1966), 249–276.CrossRefGoogle Scholar
(10)Kaufman, R.Transforms of Certain Measures. Michigan Math. J. 14 (1967), 449–452.CrossRefGoogle Scholar