Every \(n\)-dimensional normed space is the space \(\mathbb R^n\) endowed with a normal norm

DOI10.1186/1029-242X-2012-284zbMath1286.46023OpenAlexW2156188895WikidataQ59288840 ScholiaQ59288840MaRDI QIDQ388076

Ryotaro Tanaka, Kichi-Suke Saito

Publication date: 18 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-284

zbMATH Keywords

normed spaceBirkhoff orthogonalityDay-James space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (3)

Characterization of Day-James spaces and generalized Day-James spaces ⋮ Orthonormal bases and a structure of finite dimensional normed linear spaces ⋮ Characterization of regular norms of \(\mathbb{R}^n\)

Cites Work

• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• Orthogonality in linear metric spaces
• Inner products in normed linear spaces
• Orthogonality in normed linear spaces

This page was built for publication: Every \(n\)-dimensional normed space is the space \(\mathbb R^n\) endowed with a normal norm