Hostname: page-component-8448b6f56d-42gr6 Total loading time: 0 Render date: 2024-04-25T00:12:03.138Z Has data issue: false hasContentIssue false
  • English
  • Français

A theorem on the Bohr compactification of a locally compact Abelian group

Published online by Cambridge University Press:  24 October 2008

N. Th. Varopoulos
N. Th. Varopoulos
Affiliation:
Trinity College, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

Notations. If G denotes an Abelian group and L a locally compact group topology on G, G(L) will denote the resulting topological group, and will denote the character group with the usual Pontrjagin topology (which is locally compact). Rn will denote the real n-dimensional vector group. Finally, for any set X, |X| will denote its cardinal number.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 1 , January 1965 , pp. 65 - 68
Copyright
Copyright © Cambridge Philosophical Society 1965

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Bourbaki, N.Topologie générate (Hermann; Paris, 1961).Google Scholar
(2)Bourbaki, N.Intégration (Hermann; Paris, 1953).Google Scholar
(3)Glicksberg, I.Canad. J. Math. 14 (1962), 269–276.CrossRefGoogle Scholar
(4)Hewitt, E.Fund. Math. 53 (1963), 55–64.CrossRefGoogle Scholar
(5)Montgomery, D and Zippin, L.Topological transformation groups (Interscience; New York, 1955).Google Scholar
(6)Naimark, M. A.Normed rings (Noordhoff; Groningen, 1959).Google Scholar
(7)Northcott, D. G.An introduction to homological algebra (Cambridge, 1960).CrossRefGoogle Scholar
(8)Ross, K.Closed subgroups of locally compact Abelian groups. Fund. Math., (to appear).Google Scholar
(9)Rudin, W.Fourier analysis on groups. (Interscience; New York, 1962).Google Scholar
(10)Varopoulos, N. Th.Studies in harmonic analysis. Proc. Cambridge Philos. Soc. 60 (1964), 465–516.CrossRefGoogle Scholar
(11)Well, A.L'intégration dans les groupes topologiques et ses applications (Hermann; Paris, 1940).Google Scholar