A note on the Lumer--Phillips theorem for bi-continuous semigroups
Functional Analysis
2023-07-19 v2
Abstract
Given a Banach space and an additional coarser Hausdorff locally convex topology on we characterise the generators of -bi-continuous semigroups in the spirit of the Lumer--Phillips theorem, i.e. by means of dissipativity w.r.t.~a directed system of seminorms and a range condition.
Cite
@article{arxiv.2206.00887,
title = {A note on the Lumer--Phillips theorem for bi-continuous semigroups},
author = {Karsten Kruse and Christian Seifert},
journal= {arXiv preprint arXiv:2206.00887},
year = {2023}
}