Hahn - Banach theorems for κ - normed spaces

نویسندگان

  • S. V. Lüdkovsky
  • J. C. Ferrando
چکیده

For a new class of topological vector spaces, namely κ-normed spaces, an 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.

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تاریخ انتشار 2002