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

  • Karsten Kruse

    Hamburg University of Technology, Germany
  • Christian Seifert

    Hamburg University of Technology, Germany
A note on the Lumer–Phillips theorem for bi-continuous semigroups cover

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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