Banach space properties sufficient for normal structure

DOI10.1016/j.jmaa.2007.03.079zbMath1133.46009OpenAlexW2076041243MaRDI QIDQ2382696

Eva María Mazcuñán-Navarro

Publication date: 2 October 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.2007.03.079

zbMATH Keywords

normal structuremodulus of smoothnessJames constantvon Neumann-Jordan constantweakly convergent sequence coefficient

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (11)

The fixed point property in \(JB^*\)-triples and preduals of \(JBW^*\)-triples ⋮ Hölder’s means and fixed points for multivalued nonexpansive mappings ⋮ On some geometric constants in Banach spaces ⋮ On James type constants and the normal structure in Banach spaces ⋮ Some estimates for the weakly convergent sequence coefficient in Banach spaces ⋮ Modulus of convexity, the coefficient \(R(1,X)\), and normal structure in Banach spaces ⋮ The Dunkl-Williams constant, convexity, smoothness and normal structure ⋮ The Ptolemy and Zbăganu constants of normed spaces ⋮ James type constants and fixed points for multivalued nonexpansive mappings ⋮ Some modulus and normal structure in Banach space ⋮ On some Banach space properties sufficient for normal structure

Cites Work

• On James and von Neumann-Jordan constants and sufficient conditions for the fixed point property
• Normal structure coefficients for Banach spaces
• Measures of noncompactness in metric fixed point theory
• On a generalized James constant
• Uniformly non-square Banach spaces
• A note on properties that imply the fixed point property
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• The Jordan--von Neumann constants and fixed points for multivalued nonexpansive mappings
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• On some Banach space properties sufficient for weak normal structure and their permanence properties
• A class of spaces with weak normal structure
• A Fixed Point Theorem for Mappings which do not Increase Distances
• The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces
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