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

2023/02/16 by Kruse, Karsten, Seifert, Christian
#Lumer-Phillips theorem #Mathematik #Saks space #bi-continuous semigroup #dissipativity #mixed topology

paper · doi:10.15480/882.4942

Abstract

Given a Banach space X and an additional coarser Hausdorff locally convex topology τ on X we characterise the generators of τ-bi-continuous semigroups in the spirit of the Lumer--Phillips theorem, i.e. by means of dissipativity w.r.t. directed system of seminorms and a range condition.

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