Hahn-Banach theorems for $κ$-normed spaces

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For 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.
Latex, 18 pages

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Functional Analysis, 57N17 (Primary) 52A07 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/66287

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301197
 http://arxiv.org/abs/math/0301197

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arXiv