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Unitary representations corresponding to measures with bounded support in infinite dimensions

Published online by Cambridge University Press:  20 January 2009

José E. Galé
José E. Galé
Affiliation:
Departamento de Teoria de Funciones, Facultad de Ciencias, Zaragoza, Spain
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Let E be a real Hausdorff locally convex space with topological dual E′, topologised by the strong topology. Let (x, x′) denote the bilinear mapping defining the duality between E and E′ (x∈E, x′∈E′). By a unitary representation of E′ we mean an operator valued function U(x′) = Ux′. defined on E′, whose values are unitary operators in a separable Hilbert space H such that

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 1 , February 1983 , pp. 67 - 72
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

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