English

Unitary representability of free abelian topological groups

Representation Theory 2021-08-27 v1 General Topology

Abstract

For every Tikhonov space XX the free abelian topological group A(X)A(X) and the free locally convex vector space L(X)L(X) admit a topologically faithful unitary representation. For compact spaces XX this is due to Jorge Galindo.

Keywords

Cite

@article{arxiv.math/0604253,
  title  = {Unitary representability of free abelian topological groups},
  author = {Vladimir V. Uspenskij},
  journal= {arXiv preprint arXiv:math/0604253},
  year   = {2021}
}

Comments

6 pages. Version 11 April 2006

R2 v1 2026-07-22T17:34:22.635Z