Glasnik matematički, Vol. 43 No. 2, 2008.
Original scientific paper
https://doi.org/10.3336/gm.43.2.12
On hereditary reflexivity of topological vector spaces. The de Rham cochain and chain spaces
Ju. T. Lisica
; Mathematical Analysis and Function Theory Department, Peoples' Friendship University of Russia, Miklukho-Maklay str. 6, 117198 Moscow, Russia
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.
Keywords
De Rham cohomology; currents; nuclear spaces; hereditary reflexivity; dual hereditary reflexivity; Pontryagin duality
Hrčak ID:
28904
URI
Publication date:
10.11.2008.
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