This is an announcement for the paper "Angles and polar coordinates in real normed spaces" by Volker Thuerey.

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.

Archive classification: math.FA math.MG

Mathematics Subject Classification: 52A10

Remarks: 21 pages, 8 figures

The source file(s), anglepaper.tex: 114700 bytes

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0902.2731

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http://arXiv.org/abs/0902.2731

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