Unitary representability of free abelian topological groups

Vladimir V. Uspenskij

United States

Ohio University

Department of Mathematics

Submitted: 2013-10-30

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Accepted: 2013-10-30

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

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

Supporting agencies:

This research was not funded

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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