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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] E. Hewitt and K. Ross, Abstract harmonic analysis. Vol. II: Structure and analysis for compact groups; analysis on locally compact Abelian groups, Die Grundlehren der math. Wissenschaften, Band 152, Springer-Verlag, New York-Berlin, 1970. MR 0262773 (41:7378)
  • [2] W. Rudin, Fourier analysis on groups, Interscience Tracts in Pure and Appl. Math., no. 12, Interscience, New York, 1962. MR 27 #2808. MR 0152834 (27:2808)

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Article copyright: © Copyright 1972 American Mathematical Society

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