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arXiv:0802.1654 [math.FA]AbstractReferencesReviewsResources

Maximal monotonicity, conjugation and the duality product

Regina Sandra Burachik, B. F. Svaiter

Published 2008-02-12, updated 2008-02-13Version 2

Recently, the authors studied the connection between each maximal monotone operator T and a family H(T) of convex functions. Each member of this family characterizes the operator and satisfies two particular inequalities. The aim of this paper is to establish the converse of the latter fact. Namely, that every convex function satisfying those two particular inequalities is associated to a unique maximal monotone operator.

Comments: 8 pages, corrected author's names
Journal: Proceedings of the American Mathematical . Society 131 (2003), 2379-2383
Categories: math.FA, math.AP
Subjects: 47H05, 47H04, 46B99
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