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math.FA2023
Hypercyclic and mixing composition operators on
Thomas Kalmes, Adam Przestacki
In this paper we characterize mixing composition operators acting on the space of slowly increasing smooth functions. Moreover we relate the mixing prop…
math.FA2023
Mean ergodic weighted shifts on Köthe echelon spaces
Thomas Kalmes, Daniel Santacreu
Necessary and sufficient conditions are given for mean ergodicity, power boundedness, and topologizability for weighted backward shift and weighted forward shift operators, respect…
math.FA2023
Linear topological invariants for kernels of differential operators by shifted fundamental solutions
Andreas Debrouwere, Thomas Kalmes
We characterize the condition for smooth kernels of partial differential operators in terms of the existence of shifted fundamental solutions satisfying certain properties. T…