Work

A note on the Lumer–Phillips theorem for bi-continuous semigroups

Year: 2023
Type: article
Abstract: Given a Banach space X and an additional coarser Hausdorff locally convex topology \tau on X , we characterise the generators of \tau -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.
Language: English
Open Access status: green
OpenAlex ID: W4319067722
FWCI: 1.226
Cites: 33
Cited by: 3
Related to: 10