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A characterization of essentially strictly convex functions on reflexive Banach spaces

โœ Scribed by Michel Volle; Jean-Baptiste Hiriart-Urruty

Book ID
113811338
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
220 KB
Volume
75
Category
Article
ISSN
0362-546X

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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