Applied General Topology (Oct 2008)

Unitary representability of free abelian topological groups

  • Vladimir V. Uspenskij

DOI
https://doi.org/10.4995/agt.2008.1800
Journal volume & issue
Vol. 9, no. 2
pp. 197 – 204

Abstract

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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