Open Access
November 2016 Geometric constants for quantifying the difference between orthogonality types
Vitor Balestro, Horst Martini, Ralph Teixeira
Ann. Funct. Anal. 7(4): 656-671 (November 2016). DOI: 10.1215/20088752-3661053

Abstract

This article is devoted to introducing new geometric constants that quantify the difference between Roberts orthogonality and Birkhoff orthogonality in normed planes. We start by characterizing Roberts orthogonality in two different ways: via bisectors of two points and the use of certain linear transformations. Each of these characterizations yields one of those geometric constants that we study.

Citation

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Vitor Balestro. Horst Martini. Ralph Teixeira. "Geometric constants for quantifying the difference between orthogonality types." Ann. Funct. Anal. 7 (4) 656 - 671, November 2016. https://doi.org/10.1215/20088752-3661053

Information

Received: 20 February 2016; Accepted: 12 May 2016; Published: November 2016
First available in Project Euclid: 5 October 2016

zbMATH: 1365.46012
MathSciNet: MR3555757
Digital Object Identifier: 10.1215/20088752-3661053

Subjects:
Primary: 46B20
Secondary: 33B10 , 52A10 , 52A21

Keywords: ‎Banach spaces , geometric constants , Minkowski geometry , orthogonality types , sine function

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.7 • No. 4 • November 2016
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