Abstract
Lemma 8.1 [No]: Let S be the unit sphere of a norm on ℝ2, S ε the locus of the midpoints of chords of length 2ε (which is a simple closed curve ∀ε ∈ (0,1)). Then the area A ε bounded by S ε is (1 - ε2)-times the area A bounded by S.
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© 1986 Springer Basel AG
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Amir, D. (1986). Area Arguments and Area Orthogonalities. In: Characterizations of Inner Product Spaces. Operator Theory: Advances and Applications, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5487-0_9
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DOI: https://doi.org/10.1007/978-3-0348-5487-0_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-5489-4
Online ISBN: 978-3-0348-5487-0
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