SEPARABILITY THEOREMS FOR SPACES
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.
topological vector spaces, spaces, Hahn-Banach theorems.