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

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

2001-01-10

arxiv.org/abs/math/0101088v1

Mathematics

General Topology

26 pages, 0 figures, Latex

Scientific paper

A duality of $\kappa$-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 $\kappa$-normability of a topological vector space implies its local convexity. There are given applications of $\kappa $-normed spaces for resolutions of differential equations and for approximations of functions in mathematical economy.

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