Unitary representability of free abelian topological groups


  • Vladimir V. Uspenskij Ohio University




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


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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How to Cite

V. V. Uspenskij, “Unitary representability of free abelian topological groups”, Appl. Gen. Topol., vol. 9, no. 2, pp. 197–204, Oct. 2008.



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