Angles and Polar Coordinates In Real Normed Spaces

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.

21 pages, 8 figures

Cited by in corpus (2)

• A formula for the $g$-angle between two subspaces of a normed space
• Angles in normed spaces