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Some Multiplicative Functionals

Published online by Cambridge University Press:  20 November 2018

D. G. Bourgin
D. G. Bourgin*
Affiliation:
University of Illinois
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This note concerns itself primarily with the representation of continuous multiplicative functionals on L2 types of rings or Banach algebras to the real or complex fields where convolution is taken as the ring multiplication. In a recent publication [1] such functionals were studied for the continuous function ring C(S) over a compact space S.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 174 - 178
Copyright
Copyright © Canadian Mathematical Society 1953

References

1. Bourgin, D. G., Multiplicative transformations, Proc. Nat. Acad. Sci., 36 (1950), 564–570.Google Scholar
2. Weil, A., L'integration dans les groupes topologiques et ses applications, Actualités sci. et industr., 869 (Publications de l'Inst. de Math, de Clermont-Ferrand, IV), 1–158.Google Scholar