Amenability of weighted convolution algebras on locally compact groups

Grønbæk, Niels

doi:10.1090/S0002-9947-1990-0962282-5

Amenability of weighted convolution algebras on locally compact groups

Author: Niels Grønbæk
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
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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.

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