Dissipativity and positive off-diagonal property of operators on ordered Banach spaces
Functional Analysis
2020-06-11 v1
Abstract
In this paper, we provide a sublinear function on ordered Banach spaces, which depends on the order structure of the space. With respect to this , we study the relation between -contractivity of positive semigroups and the -dissipativity of its generators. The positive off-diagonal property of generators is also studied in ordered vector spaces.
Keywords
Cite
@article{arxiv.2006.05636,
title = {Dissipativity and positive off-diagonal property of operators on ordered Banach spaces},
author = {Feng Zhang and Onno van Gaans},
journal= {arXiv preprint arXiv:2006.05636},
year = {2020}
}