An inequality between Jordan-von Neumann constant and James constant

DOI10.1016/j.aml.2009.09.023zbMath1194.46029OpenAlexW2046711811MaRDI QIDQ847309

Hai Ying Li, Chang Sen Yang

Publication date: 12 February 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.023

zbMATH Keywords

James constantJordan-von Neumann constant

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (16)

The generalized Gao's constant of absolute normalized norms in ℝ² ⋮ The von Neumann-Jordan constant for a class of Day-James spaces ⋮ The James constant for the \(l_{3}\)-\(l_{1}\) space ⋮ A comparison between James and von Neumann-Jordan constants ⋮ An extension of a simply inequality between von Neumann-Jordan and James constants in Banach spaces ⋮ Absolute normalized norms in \(\mathbb R^2\) and Heinz means constant ⋮ Jordan-von Neumann constant for Banaś-Frączek space ⋮ Notes on von Neumann-Jordan and James constants for absolute norms on \(\mathbb R^2\) ⋮ On the generalized von Neumann-Jordan type constant for some concrete Banach spaces ⋮ A sufficient condition that \(J(X^\ast)=J(X)\) holds for a Banach space \(X\) ⋮ The von Neumann-Jordan constant of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^2\) ⋮ On the James type constant of \(l_{p}-l_{1}\) ⋮ On the upper bound of some geometric constants of absolute normalized norms on \(\mathbb R^2\) ⋮ On a new geometric constant related to the modulus of smoothness of a Banach space ⋮ Heinz means and triangles inscribed in a semicircle in Banach spaces ⋮ On some modifications of \(n\)-th von Neumann-Jordan constant for Banach spaces

Cites Work

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• On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property
• On a new geometric constant related to the von Neumann--Jordan constant
• Some inequalities concerning the James constant in Banach spaces
• A note on Jordan-von~Neumann constant and James constant
• Von Neumann-Jordan constant for Lebesgue-Bochner spaces
• Triangles inscribed in a semicircle, in Minkowski planes, and in normed spaces
• The von Neumann-Jordan constant for the Lebesgue spaces
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• Wheeling around von Neumann–Jordan constant in Banach spaces
• On two classes of Banach spaces with uniform normal structure
• Generalised Jordan-von Neumann constants and uniform normal structure
• On n-th James and Khintchine constants of Banach spaces
• On James and Jordan-von Neumann constants of Lorentz sequence spaces

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