On the calculation of the James constant of Lorentz sequence spaces

DOI10.1016/J.JMAA.2008.01.033zbMath1148.46013OpenAlexW1983078526MaRDI QIDQ2427269

Tomonari Suzuki, Ken-Ichi Mitani, Kichi-Suke Saito

Publication date: 8 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.033

zbMATH Keywords

James constantLorentz sequence spaceabsolute norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Cites Work

• Von Neumann-Jordan constant of absolute normalized norms on \(\mathbb{C}^2\)
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• On James and Jordan-von Neumann constants of Lorentz sequence spaces
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Related Items (6)

Extremal structure of absolute normalized norms on \(\mathbb R^2\) and the James constant ⋮ Extremal structure of the set of absolute norms on \(\mathbb R^2\) and the von Neumann-Jordan constant ⋮ Dual of two dimensional Lorentz sequence spaces ⋮ Hölder’s means and absolute normalized norms on R2 ⋮ When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)? ⋮ Heinz means and triangles inscribed in a semicircle in Banach spaces

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