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Hahn-Banach theorems for $kappa $-normed spaces | S.V. Ludkovsky
; J.C. Ferrando
; | Date: |
18 Dec 2002 | Subject: | Functional Analysis MSC-class: 57N17 (Primary) 52A07 (Secondary) | math.FA | Abstract: | For a new class of topological vector spaces, namely $kappa $-normed spaces, and associated quasisemilinear topological preordered space is defined and investigated. This structure arise naturally from the consideration of a $kappa $-norm, that is a distance function between a point and a $G_{delta}$-subset. For it, analogs of the Hahn-Banach theorem are proved. | Source: | arXiv, math.FA/0301197 | Services: | Forum | Review | PDF | Favorites |
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