Hahn-Banach theorems for $κ$-normed spaces

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dc.creatorLudkovsky, S. V.
dc.creatorFerrando, J. C.
dc.date2003-01-18
dc.date.accessioned2026-07-07T04:54:32Z
dc.date.available2026-07-07T04:54:32Z
dc.descriptionFor a new class of topological vector spaces, namely $κ$-normed spaces, and associated quasisemilinear topological preordered space is defined and investigated. This structure arise naturally from the consideration of a $κ$-norm, that is a distance function between a point and a $G_δ$-subset. For it, analogs of the Hahn-Banach theorem are proved.
dc.descriptionLatex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0301197
dc.identifierhttp://arxiv.org/abs/math/0301197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66287
dc.subjectFunctional Analysis
dc.subject57N17 (Primary) 52A07 (Secondary)
dc.titleHahn-Banach theorems for $κ$-normed spaces
dc.typetext

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