Group topologies on vector spaces and character lifting properties

• Autores: Xabier Domínguez, Vaja Tarieladze
• Localización: Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 14, Nº. 1, 2008, págs. 21-34
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.