Banach Journal of Mathematical Analysis

Orthogonal bases and a structure of finite dimensional normed linear spaces

Kichi-Suke Saito and Ryotaro Tanaka

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Abstract

In this paper, we consider orthonormal bases for finite dimensional normed linear spaces which are related to Birkhoff orthogonality. We also study the relationship between orthonormal bases and a structure of finite dimensional normed linear spaces.

Article information

Source
Banach J. Math. Anal., Volume 8, Number 1 (2014), 89-97.

Dates
First available in Project Euclid: 14 October 2013

Permanent link to this document
https://projecteuclid.org/euclid.bjma/1381782089

Digital Object Identifier
doi:10.15352/bjma/1381782089

Mathematical Reviews number (MathSciNet)
MR3161684

Zentralblatt MATH identifier
1300.46017

Subjects
Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 46B25: Classical Banach spaces in the general theory

Keywords
Birkhoff orthogonality orthonormal basis normed linear space

Citation

Tanaka, Ryotaro; Saito, Kichi-Suke. Orthogonal bases and a structure of finite dimensional normed linear spaces. Banach J. Math. Anal. 8 (2014), no. 1, 89--97. doi:10.15352/bjma/1381782089. https://projecteuclid.org/euclid.bjma/1381782089


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References

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