On heraditary reflexivity of topological vector spaces, the de Rham cochain and chain spaces

Abstract: For proving reflexivity of the spaces of de Rham cohomology and homology of C∞-manifolds the author considers the notion of hereditary reflexivity as well as the notion of dual hereditary reflexivity of locally convex topological vector spaces which is interesting in itself. Complete barre...

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Permalink: http://skupnikatalog.nsk.hr/Record/nsk.NSK01000716017/Details
Matična publikacija: Glasnik matematički
Ser. 3, 43(63) (2008), 2 ; str. 397-422
Glavni autor: Lisica, Ju. T. (-)
Vrsta građe: Članak
Jezik: eng
Predmet:
Online pristup: Glasnik Matematički
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520 8 |a Abstract: For proving reflexivity of the spaces of de Rham cohomology and homology of C∞-manifolds the author considers the notion of hereditary reflexivity as well as the notion of dual hereditary reflexivity of locally convex topological vector spaces which is interesting in itself. Complete barrelled nuclear spaces with complete nuclear duals turn out to be hereditarily reflexive. The Pontryagin duality in locally convex topological spaces is also considered 
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