JP Journal of Geometry and Topology
Volume 7, Issue 3, Pages 359 - 384
(November 2007)
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SEPARABILITY THEOREMS FOR  SPACES
S. V. Ludkovsky (Russia) and J. C. Ferrando (Spain)
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Abstract:
For a new class of topological vector spaces, namely 
spaces, an associated quasisemilinear topological preordered space is defined and investigated. This structure arises naturally from the consideration of a 
that is, a distance function between a point and a 
-subset. For it, analogs of the Hahn-Banach theorem are proved such that a geometric illustration is outlined. |
| Keywords and phrases: topological vector spaces,  spaces, Hahn-Banach theorems. |
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