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Support functional and dual cone with application


Abstract


The theory of the Minkowski support functional and the dual cone is developed in general linear spaces. Properties of the support funtional are then used to establish certain theorems of combinatorial geometry which hold in infinte dimensions.

DOI Code: 10.1285/i15900932v18n1p101

Keywords: Minkowski functional; Minkowski's duality; Support functional; Dual cone

Classification: 46A40

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