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A Banach space X is said to have • normal structure if every bounded convex subset ofX has normal structure; • weak normal structure if every weakly compact convex set… Click to show full abstract
A Banach space X is said to have • normal structure if every bounded convex subset ofX has normal structure; • weak normal structure if every weakly compact convex set K of X has normal structure; • uniform normal structure if there exists 0 < c < 1 such that for every bounded closed convex subset C of K that contains more than one point there is a point x0 ∈ C such that sup{‖x0 − y‖ : y ∈ C} < c · diamC.
Keywords:
flatness non;
non expansive;
expansive mappings;
normal structure;
structure;
banach
Journal Title: Journal of The Korean Mathematical Society
Year Published: 2017
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Journal Title: Journal of The Korean Mathematical Society
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!