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A structural version of the theorem of Hahn-Banach

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  • Brinkhuis, J.

Abstract

We consider one of the basic results of functional analysis, the classical theorem of Hahn-Banach. This theorem gives the existence of a continuous linear functional on a given normed vectorspace extending a given continuous linear functional on a subspace with the same norm. In this paper we generalize this existence theorem to a result on the structure of the set of all these extensions.

Suggested Citation

  • Brinkhuis, J., 2001. "A structural version of the theorem of Hahn-Banach," Econometric Institute Research Papers EI 2001-42, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1713
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    Keywords

    Hahn-Banach theorem;

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