Some inequalities concerning the James constant in Banach spaces

DOI10.1016/j.jmaa.2008.12.013zbMath1175.46015OpenAlexW2022687935MaRDI QIDQ1014693

Bijun Pang, Feng Hui Wang

Publication date: 29 April 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.2008.12.013

zbMATH Keywords

modulus of convexityJames constantvon Neumann-Jordan constant

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (7)

A simple inequality for the von~Neumann--Jordan and James constants of a Banach space ⋮ An inequality between Jordan-von Neumann constant and James constant ⋮ An extension of a simply inequality between von Neumann-Jordan and James constants in Banach spaces ⋮ On the James and von Neumann-Jordan constants in Banach spaces ⋮ Unnamed Item ⋮ On a new geometric constant related to the modulus of smoothness of a Banach space ⋮ Optimal extensions of the Banach-Stone theorem

Cites Work

• Unnamed Item
• 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
• Modules of convexity, characteristic of convexity and fixed point theorems
• Triangles inscribed in a semicircle, in Minkowski planes, and in normed spaces
• 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
• 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

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