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math.FA2025
Mean and pointwise ergodicity for composition operators on rearrangement-invariant spaces
Thomas Kalmes, Dalimil Peša
We study ergodicity of composition operators on rearrangement-invariant Banach function spaces. More precisely, we give a natural and easy-to-check condition on the symbol of the o…
math.FA2025
Strongly continuous fields of operators over varying Hilbert spaces
Ali BenAmor, Batu Güneysu, Thomas Kalmes +1
After introducing a natural notion of continuous fields of locally convex spaces, we establish a new theory of strongly continuous families of possibly unbounded self-adjoint opera…
math.AP2025
Runge type approximation results for spaces of smooth Whitney jets
Tomasz Ciaś, Thomas Kalmes
We prove Runge type approximation results for linear partial differential operators with constant coefficients on spaces of smooth Whitney jets. Among others, we characterize when…