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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Local units in $L^{1} (G)$
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by G. F. Bachelis, W. A. Parker and K. A. Ross PDF
Proc. Amer. Math. Soc. 31 (1972), 312-313 Request permission

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
  • 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
  • Walter Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Applied Mathematics, No. 12, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1962. MR 0152834
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 31 (1972), 312-313
  • MSC: Primary 46.80; Secondary 42.00
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0288598-0
  • MathSciNet review: 0288598