Search results for "James constant"

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The Dunkl–Williams constant, convexity, smoothness and normal structure

2008

Abstract In this paper we exhibit some connections between the Dunkl–Williams constant and some other well-known constants and notions. We establish bounds for the Dunkl–Williams constant that explain and quantify a characterization of uniformly nonsquare Banach spaces in terms of the Dunkl–Williams constant given by M. Baronti and P.L. Papini. We also study the relationship between Dunkl–Williams constant, the fixed point property for nonexpansive mappings and normal structure.

Smoothness (probability theory)Applied MathematicsMathematical analysisStructure (category theory)Banach spaceMathematics::Classical Analysis and ODEsCharacterization (mathematics)Fixed-point propertyJames constantSmoothnessNormal structureConvexityPhysics::History of PhysicsDunkl–Williams constantConvexityMathematics::Quantum AlgebraConstant (mathematics)Mathematics::Representation TheoryAnalysisMathematicsJournal of Mathematical Analysis and Applications
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