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Isomorphisms of Multiplier Algebras

Published online by Cambridge University Press:  20 November 2018

G. I. Gaudry
G. I. Gaudry*
Affiliation:
Institut Henri Poincaré {Université de Paris), Paris, France; University of Warwick, Coventry, England
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Suppose that G1 and G2 are two locally compact Hausdorff groups with identity elements e and e’ and with respective left Haar measures dx and dy. Let 1 ≦ p ≦ ∞, and Lp(Gi) be the usual Lebesgue space over Gi formed relative to left Haar measure on Gi. We denote by M(Gi) the space of Radon measures, and by Mbd(Gi) the space of bounded Radon measures on Gi. If a ϵ Gi we write ϵa for the Dirac measure at the point a. Cc(Gi) will denote the space of continuous, complex-valued functions on Gi with compact supports, whilst Cc+ (Gi) will denote that subset of Cc(Gi) consisting of those functions which are real-valued and non-negative.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1165 - 1172
Copyright
Copyright © Canadian Mathematical Society 1968

Footnotes

1

This work was done while the author held an Overseas Studentship from the Commonwealth Scientific and Industrial Research Organisation (Australia) at the University of Paris.

References

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