Unitary representability of free abelian topological groups

Mathematics – Representation Theory

Scientific paper

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6 pages. Version 11 April 2006

Scientific paper

For every Tikhonov space $X$ the free abelian topological group $A(X)$ and
the free locally convex vector space $L(X)$ admit a topologically faithful
unitary representation. For compact spaces $X$ this is due to Jorge Galindo.

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