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Journal of Convex Analysis 20 (2013), No. 4, 1025--1042
Copyright Heldermann Verlag 2013

A Generalization of the Euclidean Angle

Volker W. Thürey
Rheinstr. 91, 28199 Bremen, Germany

Based on an idea of Ivan Singer we introduce a new concept of an angle in real normed vector spaces which generalizes the Euclidean angle of Hilbert spaces. With this angle we can describe elements of each finite dimensional real normed space by polar coordinates.

Keywords: Normed vector space, generalized angle, polar coordinates.

MSC: 46B20, 52A10

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