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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.

Information

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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