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arXiv · 2206.00887

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

Karsten Kruse·Christian Seifert
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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 w.r.t.~a directed system of seminorms and a range condition.

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Karsten Kruse, Christian Seifert. 2022-06-02. A note on the Lumer--Phillips theorem for bi-continuous semigroups. https://doi.org/10.4171/zaa%2F1709

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