Group topologies on vector spaces and character lifting properties

  1. Domínguez, Xabier
  2. Tarieladze, Vaja
Journal:
Boletín de la Sociedad Matemática Mexicana: Tercera Serie

ISSN: 1405-213X,  2296-4495

Year of publication: 2008

Volume: 14

Issue: 1

Pages: 21-34

Type: Article

SCOPUS: 2-s2.0-84858377927 DIALNET GOOGLE SCHOLAR

More publications in: Boletín de la Sociedad Matemática Mexicana: Tercera Serie

Abstract

It is known that every continuous character on a topological vector space can be lifted to a continuous linear functional and, moreover, these liftings give rise to a topological isomorphism between the dual group and the dual space, when both are endowed with the compact-open topology. We investigate the presence of these properties in more general topologized real vector spaces.

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