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A characterization of quotient algebras of Ll(G)
1969
Mathematical proceedings of the Cambridge Philosophical Society (Print)
Let G be a locally compact Abelian group; I' the dual group of G; CO(l_')the algebra of continuous functions on r which vanish at infinity; CB(17) the continuous, bounded functions on r; M(G) the algebra of bounded Borel measures on G; Ll(G) the algebra of absolutely continuous measures; and M(G)A the algebra of l?ourier-Stielt jes transforms. Let E denote a compact subset of I', and let A(E) be the set of all functions on E which are restrictions to E of functions belonging to L1(G)A. The norm
doi:10.1017/s030500410004531x
fatcat:ngajr2skazgt5ftxe6iuzxjmye