Weakly compact homomorphisms from group algebras
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- by B. E. Johnson PDF
- Proc. Amer. Math. Soc. 119 (1993), 1249-1258 Request permission
Abstract:
A locally compact group $G$ has the weakly compact homomorphism property if every weakly compact homomorphism from the group algebra ${L^1}(G)$ into another Banach algebra $\mathfrak {B}$ has finite-dimensional range. It has been shown that compact and abelian groups have this property. We extend this to a large class of groups including all solvable groups.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 1249-1258
- MSC: Primary 43A22; Secondary 22D05, 46H05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1158001-0
- MathSciNet review: 1158001