On the James and von Neumann-Jordan constants in Banach spaces

DOI10.1090/S0002-9939-09-10107-7zbMath1193.46010MaRDI QIDQ5189193

Feng Hui Wang

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modulus of convexityJames constantvon Neumann-Jordan constant

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (11)

The von Neumann-Jordan constant for a class of Day-James spaces ⋮ Optimal weak parallelogram constants for L^p spaces ⋮ An approximate version of the Jordan von Neumann theorem for finite-dimensional real normed spaces ⋮ 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 ⋮ Jordan-von Neumann constant for Banaś-Frączek space ⋮ Notes on von Neumann-Jordan and James constants for absolute norms on \(\mathbb R^2\) ⋮ A sufficient condition that \(J(X^\ast)=J(X)\) holds for a Banach space \(X\) ⋮ On the James type constant of \(l_{p}-l_{1}\) ⋮ On a new geometric constant related to the modulus of smoothness of a Banach space ⋮ On some modifications of \(n\)-th von Neumann-Jordan constant for Banach spaces

Cites Work

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• Geometric mean and triangles inscribed in a semicircle in Banach spaces
• A Pythagorean approach in Banach 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
• On the von Neumann-Jordan constant for Banach spaces
• Wheeling around von Neumann–Jordan constant in Banach spaces
• On two classes of Banach spaces with uniform normal structure
• On the moduli of convexity and smoothness
• Generalised Jordan-von Neumann constants and uniform normal structure
• On n-th James and Khintchine constants of Banach spaces
• The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces
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