In this work, we revisit the Krein-Rutman theory for semigroups of positive operators in a
Banach lattice framework and we provide some very general, efficient and handy results …

The notion Perron–Frobenius theory usually refers to the interaction between three
properties of operator semigroups: positivity, spectrum and long-time behaviour. These …

In this PhD thesis, strongly continuous operator semigroups are studied. We show that
contractivity or positivity of such a semigroup can have a profound impact on its long time …

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``functions …

We present new conditions for semigroups of positive operators to converge strongly as time
tends to infinity. Our proofs are based on a novel approach combining the well-known …

Let≔ z ℂ: jzj¼ 1 fg be the unit circle in the complex plane, and let α [0, 1) be irrational. The
transformation yz≔ e2pia z, z corresponds to a rotation of the circle by the angle 2πα. In …

For stochastic C 0-semigroups on L 1-spaces there is a wealth of results that show strong
convergence to an equilibrium as t→∞, given that the semigroup contains a partial integral …

We systematize and generalize recent results of Gerlach and Glück on the strong
convergence and spectral theory of bounded (positive) operator semigroups (T s) s∈ S on …

We give a new and very short proof of a theorem of Greiner asserting that a positive and
contractive C 0-semigroup on an L p-space is strongly convergent in case it has a strictly …

If. In this article we generalize and improve this result in several respects. First, we give a
new and very simple proof for the fact that the same conclusion also holds if the semigroup …