A simple inequality for the von~Neumann--Jordan and James constants of a Banach space

DOI10.1016/j.jmaa.2009.05.051zbMath1176.46022OpenAlexW1996668050MaRDI QIDQ837595

Yasuji Takahashi, Mikio Kato

Publication date: 20 August 2009

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.2009.05.051

zbMATH Keywords

modulus of smoothnessmodulus of convexityJames constantvon Neumann-Jordan constantuniformly nonsquare space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (15)

Characterization of Day-James spaces and generalized Day-James spaces ⋮ The von Neumann-Jordan constant for a class of Day-James 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 ⋮ Unnamed Item ⋮ Jordan-von Neumann constant for Banaś-Frączek space ⋮ Notes on von Neumann-Jordan and James constants for absolute norms on \(\mathbb R^2\) ⋮ The von Neumann-Jordan constant of \(\pi/2\)-rotation invariant norms on \(\mathbb{R}^2\) ⋮ On the James type constant of \(l_{p}-l_{1}\) ⋮ Unnamed Item ⋮ The von Neumann-Jordan and another constants in Radon planes ⋮ 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 ⋮ Optimal constants in normed planes ⋮ On some modifications of \(n\)-th von Neumann-Jordan constant for Banach spaces

Cites Work

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• Wheeling around von Neumann–Jordan constant in Banach spaces
• On two classes of Banach spaces with uniform normal structure
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• On n-th James and Khintchine constants of Banach spaces

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