Angles and Polar Coordinates In Real Normed Spaces

Details Angles and Polar Coordinates In Real Normed Spaces Angles and Polar Coordinates In Real Normed Spaces

2009-02-16

arxiv.org/abs/0902.2731v2

Mathematics

Functional Analysis

21 pages, 8 figures

Scientific paper

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.

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