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

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

2008-02-13

arxiv.org/abs/0802.1895v1

Journal of Convex Analysis, 15 (2008), No. 4, 693-706.

Mathematics

Functional Analysis

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

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-677014