6 papers
From zero solutions with partially bounded supports to solvability and Runge approximation for partial differential equations
Tomasz Ciás, Thomas Kalmes
The existence of non-trivial solutions of homogeneous partial differential equations with prescribed support properties plays a fundamental role in the theory of linear partial dif…
Runge type approximation results for spaces of smooth Whitney jets
Tomasz CiaÅ, 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…
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…
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…
Power boundedness and related properties for weighted composition operators on
Vicente Asensio, Enrique Jordá, Thomas Kalmes
We characterize those pairs of smooth mappings for which the corresponding weighted composit…
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.…