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RESEARCH PRODUCT

The fixed point property in banach spaces whose characteristic of uniform convexity is less than 2

J. García Falset

subject

Discrete mathematicsPure mathematicsApproximation propertyEberlein–Šmulian theoremFixed-point theoremUniformly convex spaceGeneral MedicineBanach manifoldFixed-point propertyLp spaceConvexityMathematics

description

AbstractWe prove that every Banach space X with characteristic of uniform convexity less than 2 has the fixed point property whenever X satisfies a certain orthogonality condition.

https://doi.org/10.1017/s1446788700037095