3 papers
math.FA2026
Spectral theory for semigroups on locally convex spaces
Karsten Kruse
In this paper we provide spectral inclusion and mapping theorems for strongly continuous locally equicontinuous semigroups on Hausdorff locally convex spaces. Our results extend th…
math.FA2026
Strongly continuous and locally equicontinuous families of operators and their relation to bi-continuity
Karsten Kruse, Christian Seifert
We study strongly continuous and locally equicontinuous families of operators on sequentially complete Hausdorff locally convex spaces. In case of Saks spaces, we relate the genera…
math.FA2025
Continuous maximal regularity in locally convex spaces
Karsten Kruse, Felix L. Schwenninger
We study maximal regularity with respect to continuous functions for strongly continuous semigroups on locally convex spaces as well as its relation to the notion of admissible ope…