Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type
Functional Analysis
2011-04-06 v1
Abstract
We show that every maximally monotone operator of Fitzpatrick-Phelps type defined on a real Banach space must be of dense type. This provides an affirmative answer to a question posed by Stephen Simons in 2001 and implies that various important notions of monotonicity coincide.
Cite
@article{arxiv.1104.0750,
title = {Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type},
author = {Heinz H. Bauschke and Jonathan M. Borwein and Xianfu Wang and Liangjin Yao},
journal= {arXiv preprint arXiv:1104.0750},
year = {2011}
}
Comments
8 pages