7 citations · 8 across the 5 of their papers we have counts for
7 papers · 1 filter
A note on the fixed space of positive contractions
Jochen Glück
We prove that, in a large class of Banach lattices, the fixed space of each commuting family of positive linear contractions is a lattice subspace. As consequences, new cyclicity r…
A note on the spectrum of irreducible operators and semigroups
Jochen Glück
Let denote a positive operator with spectral radius on, say, an -space. A classical result in infinite dimensional Perron--Frobenius theory says that, if is irredu…
On the decoupled Markov group conjecture
Jochen Glück
The Markov group conjecture, a long-standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup $T = (T_…
Eventual Domination for Linear Evolution Equations
Jochen Glück, Delio Mugnolo
We consider two -semigroups on function spaces or, more generally, Banach lattices and give necessary and sufficient conditions for the orbits of the first semigroup to domina…
Almost Interior Points in Ordered Banach Spaces and the Long--Term Behaviour of Strongly Positive Operator Semigroups
Jochen Glück, Martin R. Weber
The first part of this article is a brief survey of the properties of so-called almost interior points in ordered Banach spaces. Those vectors can be seen as a generalization of ``…
Asymptotics of Operator Semigroups via the Semigroup at Infinity
Jochen Glück, Markus Haase
We systematize and generalize recent results of Gerlach and Glück on the strong convergence and spectral theory of bounded (positive) operator semigroups on Banach…