Monotone Operators without Enlargements

Details Monotone Operators without Enlargements Monotone Operators without Enlargements

2011-10-14

arxiv.org/abs/1110.3102v1

Mathematics

Functional Analysis

26 pages

Scientific paper

Enlargements have proven to be useful tools for studying maximally monotone mappings. It is therefore natural to ask in which cases the enlargement does not change the original mapping. Svaiter has recently characterized non-enlargeable operators in reflexive Banach spaces and has also given some partial results in the nonreflexive case. In the present paper, we provide another characterization of non-enlargeable operators in nonreflexive Banach spaces under a closedness assumption on the graph. Furthermore, and still for general Banach spaces, we present a new proof of the maximality of the sum of two maximally monotone linear relations. We also present a new proof of the maximality of the sum of a maximally monotone linear relation and a normal cone operator when the domain of the linear relation intersects the interior of the domain of the normal cone.

Affiliated with

Also associated with

No associations

Rating

Monotone Operators without Enlargements 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 Monotone Operators without Enlargements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monotone Operators without Enlargements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-521919