Properties of certain measures on a topological group
Published online by Cambridge University Press: 24 October 2008
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
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 4 , October 1968 , pp. 1011 - 1013
- Copyright
- Copyright © Cambridge Philosophical Society 1968
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