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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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$L^{1}(G)$ as an ideal in its second dual space
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by Michael Grosser PDF
Proc. Amer. Math. Soc. 73 (1979), 363-364 Request permission

Abstract:

Based on general results on Banach modules a short proof of the following criterion due to S. Watanabe [5] is given: A group algebra ${L^1}(G)$ is a two-sided ideal in its second dual space (equipped with one of the Arens products) if and only if G is compact.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 73 (1979), 363-364
  • MSC: Primary 43A20; Secondary 46H25
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0518521-9
  • MathSciNet review: 518521