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

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dc.creatorLudkovsky, S.
dc.date2001-01-10
dc.date.accessioned2026-07-07T04:39:36Z
dc.date.available2026-07-07T04:39:36Z
dc.descriptionA 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.
dc.description26 pages, 0 figures, Latex
dc.identifierhttps://arxiv.org/abs/math/0101088
dc.identifierhttp://arxiv.org/abs/math/0101088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60733
dc.subjectGeneral Topology
dc.subject46A03 (Primary), 46A16, 46A20 (Secondary)
dc.titleDuality of $κ$-normed topological vector spaces and their applications
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