174 citations · 370 across the 32 of their papers we have counts for
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Weighted composition semigroups on spaces of continuous functions and their subspaces
Karsten Kruse
This paper is dedicated to weighted composition semigroups on spaces of continuous functions and their subspaces. We consider semigroups induced by semiflows and semicocycles on Ba…
Mixed topologies on Saks spaces of vector-valued functions
Karsten Kruse
We study Saks spaces of functions with values in a normed space and the associated mixed topologies. We are interested in properties of such Saks spaces and mixed topologies which…
A note on the Lumer--Phillips theorem for bi-continuous semigroups
Karsten Kruse, Christian Seifert
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…
Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups
Karsten Kruse, Christian Seifert
We consider final state observability estimates for bi-continuous semigroups on Banach spaces, i.e. for every initial value, estimating the state at a final time by taking in…
Sun dual theory for bi-continuous semigroups
Karsten Kruse, Felix L. Schwenninger
The sun dual space corresponding to a strongly continuous semigroup is a known concept when dealing with dual semigroups, which are in general only weak-continuous. In this pap…