Nonseparability and uniform structures in locally compact groups
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- by G. Hansel and J.-P. Troallic PDF
- Proc. Amer. Math. Soc. 123 (1995), 1613-1621 Request permission
Abstract:
Let G be a locally compact topological group. We prove that if G is not a SIN-group, then the quotient Banach space ${\mathcal {U}_L}(G)/\mathcal {U}(G)$ contains an isometric linear copy of ${l^\infty }$. To get this result, we first establish an extension theorem for (bilaterally) uniformly continuous functions on G.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1613-1621
- MSC: Primary 22D05; Secondary 54E15
- DOI: https://doi.org/10.1090/S0002-9939-1995-1232139-3
- MathSciNet review: 1232139