Extremal structure of absolute normalized norms on \(\mathbb R^2\) and the James constant

DOI10.1016/J.AMC.2011.04.079zbMath1227.15020OpenAlexW2059927084MaRDI QIDQ555423

Ken-Ichi Mitani, Kichi-Suke Saito, Naoto Komuro

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.079

zbMATH Keywords

extreme pointJames constantabsolute normalized norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (2)

Dual of extremal absolute norms on \(\mathbb{R}^2\) and the James constant ⋮ When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)?

Cites Work

• Dual of two dimensional Lorentz sequence spaces
• On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property
• Normal structure and the generalized James and Zbăganu constants
• Extremal structure of the set of absolute norms on \(\mathbb R^2\) and the von Neumann-Jordan constant
• Absolute norms on \(\mathbb{C}^n\)
• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On some geometric parameters in Banach spaces
• Some geometric measures of spheres in Banach spaces
• On the calculation of the James constant of Lorentz sequence spaces
• The James constant of normalized norms on \(\mathbb R^{2}\)
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• Moving triangles over a sphere
• On two classes of Banach spaces with uniform normal structure
• On James and Jordan-von Neumann constants of Lorentz sequence spaces
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