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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Amenability of weighted convolution algebras on locally compact groups
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by Niels Grønbæk PDF
Trans. Amer. Math. Soc. 319 (1990), 765-775 Request permission

Abstract:

We give a direct transition from the existence of a bounded right approximate identity in the diagonal ideal for a weighted convolution algebra on a locally compact group to the existence of translation invariant means on an associated weighted ${L^\infty }$-space, thus giving a characterization of amenability for such an algebra.
References
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 319 (1990), 765-775
  • MSC: Primary 43A20
  • DOI: https://doi.org/10.1090/S0002-9947-1990-0962282-5
  • MathSciNet review: 962282