A structural version of the theorem of Hahn-Banach

Jan Brinkhuis

No EI 2001-42, Econometric Institute Research Papers from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute

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.

Keywords: Hahn-Banach; theorem (search for similar items in EconPapers)
Date: 2001-12-14
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