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

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.

arXiv commentextends to non-reflexive Banach space a previous result proved in reflexive Banach spaces

References in corpus (1)

• Maximal monotonicity, conjugation and the duality product

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• On extension results for n-cyclically monotone operators in reflexive Banach spaces