Sufficient conditions for uniform normal structure of Banach spaces and their duals

DOI10.1016/j.jmaa.2006.07.087zbMath1120.46008OpenAlexW2078242186MaRDI QIDQ874967

Satit Saejung

Publication date: 10 April 2007

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.2006.07.087

zbMATH Keywords

modulus of smoothnessuniform normal structureJames constantvon Neumann-Jordan constantmodulus of \(U\)-convexity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (10)

The fixed point property in \(JB^*\)-triples and preduals of \(JBW^*\)-triples ⋮ The characteristic of convexity of a Banach space and normal structure ⋮ Some geometric measures of spheres in Banach spaces ⋮ Unnamed Item ⋮ Sufficient conditions for normal structure in a Banach space ⋮ A geometrical constant and uniform normal structure in Banach spaces ⋮ Unnamed Item ⋮ Normal structure and the generalized James and Zbăganu constants ⋮ Convexity conditions and normal structure of Banach spaces ⋮ Some modulus and normal structure in Banach space

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
• Normal structure and Pythagorean approach in Banach spaces
• On the modulus of \(U\)-convexity
• Uniform smoothness implies super-normal structure property
• Normal Structure, Fixed Points and Related Parameters in Banach Spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Normal structure and the arc length in Banach spaces

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