Characterizations of ultramaximally monotone operators
Functional Analysis
2014-01-30 v1
Abstract
In this paper, we study properties of ultramaximally monotone operators. We characterize the interior and the closure of the range of an ultramaximally monotone operator. We establish the Brezis--Haraux condition in the setting of a general Banach space. Moreover, we show that every ultramaximally monotone operator is of type (NA). We also provide some sufficient conditions for a Banach space to be reflexive by a linear continuous and ultramaximally monotone operator.
Keywords
Cite
@article{arxiv.1401.7428,
title = {Characterizations of ultramaximally monotone operators},
author = {Liangjin Yao},
journal= {arXiv preprint arXiv:1401.7428},
year = {2014}
}
Comments
19 pages