Duality of $κ$-normed topological vector spaces and their applications

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60733A duality of $κ$-normed topological vector spaces is defined and investigated. For such spaces the analog of the Mackey-Arens theorem is proved. There are investigated cases, when $κ$-normability of a topological vector space implies its local convexity. There are given applications of $κ$-normed spaces for resolutions of differential equations and for approximations of functions in mathematical economy.26 pages, 0 figures, LatexGeneral Topology46A03 (Primary), 46A16, 46A20 (Secondary)Duality of $κ$-normed topological vector spaces and their applicationstext