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math.FA2023★ 2 cited
An extension result for -spaces and the surjectivity of tensorized mappings
Andreas Debrouwere, Lenny Neyt
We study an extension problem for continuous linear maps in the setting of -spaces. More precisely, we characterize the pairs , where is a locally complete space w…
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…