Abstract
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 thatwhere * denotes the usual involution on M(G). These matters are discussed more fully in Williamson (1).
Publisher
Cambridge University Press (CUP)
Reference5 articles.
1. Commutative normed rings
2. A Theorem on Algebras of Measures on Topological Groups
3. (3) Williamson J. H. Proceedings of the 5th Matscience Symposium (to appear).
Cited by
2 articles.
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1. Measures vanishing off the symmetric maximal ideals of M(G);Mathematical Proceedings of the Cambridge Philosophical Society;1974-01
2. On the Williamson's Conjecture;Proceedings of the Japan Academy;1970