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Characterization of uniform PL-convexity of complex Banach space by functions with two variables

โœ Scribed by Huang Hai-jun; Liu Pei-de


Book ID
105626282
Publisher
Wuhan University
Year
1999
Tongue
English
Weight
291 KB
Volume
4
Category
Article
ISSN
1007-1202

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A function defined on a Banach space X is called D-convex if it can be represented as a difference of two continuous convex functions. In this work we study the relationship between some geometrical properties of a Banach space X and the behaviour of the class of all D-convex functions defined on it