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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/926663

Title: Fréchet-legendre functions and reflexive banach spaces
Author/Creator: Borwein, Jonathan M.; Vanderwerff, Jon
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: A 2001 article by Bauschke, Borwein and Combettes showed how to extend naturally the classical definitions of essential smoothness and essential strict convexity from functions on in a compatible fashion to any Banach space. They were able, among other things, to show that substantial duality results hold for Legendre functions in reflexive spaces. That article focused on essential smoothness in the Gâteaux sense. Our goal herein is to show that similar results hold for Fréchet smoothness and to study related properties of such functions on reflexive Banach spaces.
Relation: Journal of Convex Analysis Vol. 17, Issue 3-4, p. 915-924
Relation: http://www.heldermann.de/JCA/JCA17/JCA173/jca17057.htm
Date: 2010
Publisher: Heldermann Verlag
Keyword(s): reflexive banach spaces; convex function; essentially smooth; essentially strictly convex; Fenchel duality; Fréchet differentiability; legendre function
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/926663
Identifier: ISSN:0944-6532

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