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arXiv · 0809.3911

Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces

M. Marques Alves·B. F. Svaiter
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Abstract

Maximal monotone operators on a Banach space into its dual can be represented by convex functions bounded below by the duality product. It is natural to ask under which conditions a convex function represents a maximal monotone operator. A satisfactory answer, in the context of reflexive Banach spaces, has been obtained some years ago. Recently, a partial result on non-reflexive Banach spaces was obtained. In this work we study some others conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.

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M. Marques Alves, B. F. Svaiter. 2008-09-23. Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces. https://arxiv.org/abs/0809.3911

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