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Unitary representability of free abelian topological groups

Vladimir V. Uspenskij
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Abstract

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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Vladimir V. Uspenskij. 2006-04-11. Unitary representability of free abelian topological groups. https://arxiv.org/abs/math/0604253

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