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Necessary and Sufficient Conditions for Optima in Reflexive Spaces

โœ Scribed by Marinacci, Massimo; Montrucchio, Luigi


Book ID
118203677
Publisher
Society for Industrial and Applied Mathematics
Year
2011
Tongue
English
Weight
282 KB
Volume
21
Category
Article
ISSN
1052-6234

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โœ Karl-Heinz Elster; Reinhard Nehse ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 448 KB

The HAHN-BANACH-theorem is known to have fundamental importance for several fields of mathematics. This theorem is not used concerning functionals, but operators which map into a real partially ordered vector space. In this paper is shown that the validity of this theorem is equivalent t o the vali