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Properties of certain measures on a topological group

Published online by Cambridge University Press:  24 October 2008

S. W. Drury
Affiliation:
University of Cambridge

Extract

We denote by M(G) the space of bounded regular borel measures on a non-discrete locally compact Abelian topological group G. Under the convolution product and norm of total mass M(G) becomes a complex commutative banach algebra. We denote by Φ the space of m.l.f.s (multiplicative linear functionals) on M(G) and by σ the subset of Φ consisting of functionals symmetric in the sense that

where * denotes the usual involution on M(G). These matters are discussed more fully in Williamson (1).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

(1)Williamson, J. H.Proc. Edinburgh Math. Soc. 11 (1959), 195.CrossRefGoogle Scholar
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