Remote Access Proceedings of the American Mathematical Society
Green Open Access

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
DOI: https://doi.org/10.1090/S0002-9939-1972-0288598-0
MathSciNet review: 0288598
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46.80, 42.00

Retrieve articles in all journals with MSC: 46.80, 42.00


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0288598-0
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society