Local units in $L^{1} (G)$
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- by G. F. Bachelis, W. A. Parker and K. A. Ross
- Proc. Amer. Math. Soc. 31 (1972), 312-313
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288598-0
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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
- 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
Bibliographic 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