Angles and Polar Coordinates In Real Normed Spaces
Functional Analysis
2011-09-13 v2 Metric Geometry
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.
Keywords
Cite
@article{arxiv.0902.2731,
title = {Angles and Polar Coordinates In Real Normed Spaces},
author = {Volker Thürey},
journal= {arXiv preprint arXiv:0902.2731},
year = {2011}
}
Comments
21 pages, 8 figures