Abstract

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.

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Keywords

  • Normed vector space
  • generalized angle
  • polar coordinates

Mathematics Subject Classification

46B20, 52A10

Suggested citation

V. W. Thürey. “A Generalization of the Euclidean Angle.” Journal of Convex Analysis 20 (2013), No. 4, 1025–1042.

Copyright Heldermann Verlag 2013