Jochen Gluck

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math.FA2025

Analyticity of positive semigroups is inherited under domination

Jochen GlÃ¼ck

For positive $C_{0}$ -semigroups $S$ and $T$ on a Banach lattice such that $S (t) \leq T (t)$ for all times $t$ , we prove that analyticity of $T$ implies analyticity of $S$ . This answers…

math.FA2024

On Characteristics of the Range of Integral Operators

Moritz Gerlach, Jochen GlÃ¼ck

We show that a positive operator between $L^{p}$ -spaces is given by integration against a kernel function if and only if the image of each positive function has a lower semi-continuo…