Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$
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- by Jacques Delaporte and Antoine Derighetti PDF
- Proc. Amer. Math. Soc. 124 (1996), 1159-1169 Request permission
Abstract:
We compute the best bound for the approximate units of the augmentation ideal of the group algebra $L^{1}(G)$ of a locally compact amenable group $G$. More generally such a calculation is performed for the kernel of the canonical map from $L^{1}(G)$ onto $L^{1}(G/H)$, $H$ being a closed amenable subgroup of $G$. Analogous results involving certain ideals of the Fourier algebra of an amenable group are also discussed.References
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Additional Information
- Jacques Delaporte
- Affiliation: Institut de Mathématiques, Faculté des Sciences, Université de Lausanne, CH-1015 Lausanne-Dorigny, Switzerland
- Antoine Derighetti
- Affiliation: Institut de Mathématiques, Faculté des Sciences, Université de Lausanne, CH-1015 Lausanne-Dorigny, Switzerland
- Email: antoine.derighetti@ima.unil.ch
- Received by editor(s): October 6, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1159-1169
- MSC (1991): Primary 43A20, 43A07; Secondary 22D15, 43A22, 46J10
- DOI: https://doi.org/10.1090/S0002-9939-96-03130-9
- MathSciNet review: 1301019