Hahn-Banach theorems for $κ$-normed spaces

Details Hahn-Banach theorems for $κ$-normed spaces Hahn-Banach theorems for $κ$-normed spaces

2003-01-18

arxiv.org/abs/math/0301197v1

Mathematics

Functional Analysis

Latex, 18 pages

Scientific paper

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.

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