Jochen Glück

collaborators

4 papers

math.FA2026

The spectrum of operator extensions to free Banach Lattices

Jochen Glück, Phillip Krokor

Every bounded linear operator $T$ on a complex Banach space $E$ is known to extend to a lattice homomorphism $T$ that acts on the so-called complex free Banach lattice o…

math.OA2024

A note on the positivity of inverse operators acting on $C^{*}$ -algebras

Jochen Glück, Ulrich Groh

For a positive and invertible linear operator $T$ acting on a $C^{*}$ -algebra, we give necessary and sufficient criteria for the inverse operator $T^{- 1}$ to be positive, too. Moreov…

math.AP2024

Non-Positivity of the heat equation with non-local Robin boundary conditions

Jochen Glück, Jonathan Mui

We study heat equations $\partial_{t} u - div (A \nabla u) = 0$ on bounded Lipschitz domains $Ω$ , where $- div (A \nabla \cdot)$ is a second-order uniform…

math.FA2024

Limit-case admissibility for positive infinite-dimensional systems

Sahiba Arora, Jochen Glück, Lassi Paunonen +1

In the context of positive infinite-dimensional linear systems, we systematically study $L^{p}$ -admissible control and observation operators with respect to the limit-cases $p=\infty…

The spectrum of operator extensions to free Banach Lattices

A note on the positivity of inverse operators acting on C∗-algebras

Non-Positivity of the heat equation with non-local Robin boundary conditions

Limit-case admissibility for positive infinite-dimensional systems

A note on the positivity of inverse operators acting on $C^{*}$ -algebras