6 papers
A monotone convergence theorem for strong Feller semigroups
Christian Budde, Alexander Dobrick, Jochen Glück +1
For an increasing sequence of one-parameter semigroups of sub Markovian kernel operators over a Polish space, we study the limit semigroup and prove sufficient conditions f…
Stability criteria for positive linear discrete-time systems
Jochen Glück, Andrii Mironchenko
We prove new characterisations of exponential stability for positive linear discrete-time systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have…
Uniform convergence of stochastic semigroups
Jochen Glück, Florian G. Martin
For stochastic -semigroups on -spaces there is wealth of results that show strong convergence to an equilibrium as , given that the semigroup contains a par…
Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions
Wolfgang Arendt, A. F. M. ter Elst, Jochen Glück
We consider elliptic operators with measurable coefficients and Robin boundary conditions on a bounded domain and show that the first eigenfunction sati…
Long--Term Analysis of Positive Operator Semigroups via Asymptotic Domination
Jochen Glück, Manfred P. H. Wolff
We consider positive operator semigroups on ordered Banach spac\-es and study the relation of their long time behaviour to two different domination properties. First, we analyse un…
Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups
Moritz Gerlach, Jochen Glück
If is a semigroup of Markov operators on an -space that admits a non-trivial lower bound, then a well-known theorem of Lasota and Yorke asserts that the semigroup is s…