Duality of $κ$-normed topological vector spaces and their applications
Abstract
Description
A 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, Latex
26 pages, 0 figures, Latex