A note on the Lumer–Phillips theorem for bi-continuous semigroups
Karsten Kruse
Hamburg University of Technology, GermanyChristian Seifert
Hamburg University of Technology, Germany
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 with respect to a directed system of seminorms and a range condition.
Cite this article
Karsten Kruse, Christian Seifert, A note on the Lumer–Phillips theorem for bi-continuous semigroups. Z. Anal. Anwend. 41 (2022), no. 3/4, pp. 417–437
DOI 10.4171/ZAA/1709