Morgan Callewaert

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20242026

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math.FA2026

Spectral characterizations of stable operator semigroups

Morgan Callewaert, Lenny Neyt, Jasson Vindas

We introduce the notion of local pseudofunction spectrum $σ_{P F} (A)$ for the infinitesimal generator $A$ of a bounded $C_{0}$ -semigroup $T = (T (t))_{t \geq 0}$ on a Banach…

math.FA2025

Optimal decay of semi-uniformly stable operator semigroups with empty spectrum

Morgan Callewaert, Lenny Neyt, Jasson Vindas

We show that it is impossible to quantify the decay rate of a semi-uniformly stable operator semigroup based on sole knowledge of the spectrum of its infinitesimal generator. More…