Maximal monotonicity, conjugation and the duality product

Details Maximal monotonicity, conjugation and the duality product Maximal monotonicity, conjugation and the duality product

2008-02-12

arxiv.org/abs/0802.1654v2

Proceedings of the American Mathematical . Society 131 (2003), 2379-2383

Mathematics

Functional Analysis

8 pages, corrected author's names

Scientific paper

10.1090/S0002-9939-03-07053-9

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.

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