Nonseparability and uniform structures in locally compact groups
نویسندگان
چکیده
منابع مشابه
Nonseparability and Uniform Structures in Locally Compact Groups
Let G be a locally compact topological group. We prove that if G is not a SIN-group, then the quotient Banach space U L (G)=U(G) contains an isometric linear copy of l 1. To get this result, we rst establish an extension theorem for (bilaterally) uniformly continuous functions on G.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1232139-3