Sufficient conditions for normal structure in a Banach space

DOI10.1016/j.joems.2012.12.003zbMath1291.46015OpenAlexW2052720036MaRDI QIDQ392241

Ji Gao, Satit Saejung

Publication date: 13 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.joems.2012.12.003

zbMATH Keywords

normal structureuniform normal structuresuperreflexiveWORTH propertyfully \(2\)-rotundmodulus of \(U\) convexity

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Cites Work

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• Sufficient conditions for uniform normal structure of Banach spaces and their duals
• Another look at Cesàro sequence spaces
• Properties WORTH and WORTH\(^*\), \((1+\delta)\) embeddings in Banach spaces with 1-unconditional basis and wFPP
• Geometry of Banach spaces. Selected topics
• Best approximation by closed sets in Banach spaces
• On the modulus of \(u\)-convexity of Ji Gao
• There is an equivalent norm on \(\ell_1\) that has the fixed point property
• On the modulus of \(U\)-convexity
• Characterizations of reflexivity
• On two classes of Banach spaces with uniform normal structure
• The fixed point property for some uniformly nonoctahedral Banach spaces
• Uniform smoothness implies super-normal structure property
• A Fixed Point Theorem for Mappings which do not Increase Distances
• An Extension to the Theorem of Bishop and Phelps
• The von Neumann-Jordan constant, weak orthogonality and normal structure in Banach spaces
• FULLY CONVEX NORMED LINEAR SPACES
• Relationships between properties that imply the weak fixed point property

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