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Some non-critical idempotents in the closure of the characters in the maximal ideal space of M(D2)

Part of: Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Jane Lake
Jane Lake
Affiliation:
Department of Mathematics University of New South WalesKensington, N.S.W. 2033, Australia
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Abstract

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This paper shows that the idempotent generalized characters associated with a Raikov System generated by a K2 set in is contained in the closure of the characters D2 in ΔM(D2).

MSC classification

Secondary: 43A46: Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 3 , June 1983 , pp. 293 - 305
Copyright
Copyright © Australian Mathematical Society 1983

References

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[2]Glicksberg, I. and Wik, I., The range of Fourier-Stieltjes transforms of parts of measures (Lecture Notes in Mathematics 266, pp. 73–77, Springer-Verlag (1972).Google Scholar
[3]Hewitt, E. and Kakutani, K., ‘A class of multiplicative linear functionals on the measure algebra of a locally compact abelian group’, Illinois J. Math. 4 (1960), 553–574.CrossRefGoogle Scholar