Unitary representability of free abelian topological groups

Vladimir V. Uspenskij

doi:10.4995/agt.2008.1800

Unitary representability of free abelian topological groups

Vladimir V. Uspenskij

DOI: https://doi.org/10.4995/agt.2008.1800

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.

Keywords

Unitary representation; Free topological group; Positive-definite function; Michael selection theorem

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References

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