Unitary representability of free abelian topological groups

Vladimir V. Uspenskij

doi:10.4995/agt.2008.1800

Authors

Vladimir V. Uspenskij Ohio University

DOI:

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

Keywords:

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

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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Author Biography

Vladimir V. Uspenskij, Ohio University

Department of Mathematics

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