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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Local units in $ L^{1}\,(G)$


Authors: G. F. Bachelis, W. A. Parker and K. A. Ross
Journal: Proc. Amer. Math. Soc. 31 (1972), 312-313
MSC: Primary 46.80; Secondary 42.00
MathSciNet review: 0288598
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Abstract: A simple proof is given of the existence of local units in $ {L^1}(G)$, when $ G$ is a locally compact abelian or compact group. The proof avoids structure theory.


References [Enhancements On Off] (What's this?)

  • [1] Edwin Hewitt and Kenneth A. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Die Grundlehren der mathematischen Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. MR 0262773 (41 #7378)
  • [2] Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley and Sons), New York-London, 1962. MR 0152834 (27 #2808)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0288598-0
PII: S 0002-9939(1972)0288598-0
Article copyright: © Copyright 1972 American Mathematical Society