Angles and Polar Coordinates In Real Normed Spaces

Publication date: 16 February 2009

Abstract: We try to create a wise definition of 'angle spaces'. Based on an idea of Ivan Singer, we introduce a new concept of an angle in real Banach spaces, which generalizes the euclidean angle in Hilbert spaces. With this angle it is shown that in every two-dimensional subspace of a real Banach space we can describe elements uniquely by polar coordinates.

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10)

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