Amenability of weighted convolution algebras on locally compact groups
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- by Niels Grønbæk
- Trans. Amer. Math. Soc. 319 (1990), 765-775
- DOI: https://doi.org/10.1090/S0002-9947-1990-0962282-5
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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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Bibliographic 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