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arXiv · 0802.1895

Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces

M. Marques Alves·B. F. Svaiter
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Abstract

In this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property. We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator.

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M. Marques Alves, B. F. Svaiter. 2008-02-13. Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces. https://arxiv.org/abs/0802.1895

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