Structure theory for maximally monotone operators with points of continuity
Functional Analysis
2012-03-07 v1 Optimization and Control
Abstract
In this paper, we consider the structure of maximally monotone operators in Banach space whose domains have nonempty interior and we present new and explicit structure formulas for such operators. Along the way, we provide new proofs of the norm-to-weak closedness and of property (Q) for these operators (as recently proven by Voisei). Various applications and limiting examples are given.
Keywords
Cite
@article{arxiv.1203.1101,
title = {Structure theory for maximally monotone operators with points of continuity},
author = {Jonathan M. Borwein and Liangjin Yao},
journal= {arXiv preprint arXiv:1203.1101},
year = {2012}
}
Comments
25 pages