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.

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

References in corpus (1)

• Maximal monotonicity, conjugation and the duality product

Cited by in corpus (4)

• Maximal monotone operators with a unique extension to the bidual
• Linear Monotone Subspaces of Locally Convex Spaces
• A non-type (D) linear isometry
• On the generalized parallel sum of two maximal monotone operators of Gossez type (D)