ON NORMAL STRUCTURE, FIXED POINT PROPERTY AND CONTRACTIONS OF TYPE (y)
نویسنده
چکیده
We prove that a Banach space X has normal structure provided it contains a finite codimensional subspace Y such that all spreading models for Y have normal structure. We show that a Banach space X is strictly convex if the set of fixed points of any nonexpansive map defined in any convex subset C C X is convex and give a sufficient condition for uniform convexity of a space in terms of nonexpansive map of type (y).
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