6 papers
Compactifications of Abelian Group Bundles and a topological Halmos--von Neumann-type Theorem
Dustin Anglewitz, Patrick Hermle, Henrik Kreidler
The topological Halmos--von Neumann theorem is a fundamental result of topological dynamics that completely classifies continuous actions of abelian topological groups which are er…
A Halmos-von Neumann theorem for actions of general groups
Patrick Hermle, Henrik Kreidler
We give a new categorical approach to the Halmos-von Neumann theorem for actions of general topological groups. As a first step, we establish that the categories of topological and…
Distal systems in topological dynamics and ergodic theory
Nikolai Edeko, Henrik Kreidler
We generalize a result of Lindenstrauss on the interplay between measurable and topological dynamics which shows that every separable ergodic measurably distal dynamical system has…
Gelfand-type theorems for dynamical Banach modules
H. Kreidler, S. Siewert
The representation theorems of Gelfand and Kakutani for commutative C*-algebras and AM- and AL-spaces are the basis for the Koopman linearization of topological and measure-preserv…
The primitive spectrum of a semigroup of Markov operators
Henrik Kreidler
For a semigroup S of Markov operators on a space of continuous functions, we use S-invariant ideals to describe qualitative properties of S such as mean ergodicity and the structur…
Compact operator semigroups applied to dynamical systems
Henrik Kreidler
In this paper we develop a systematic theory of compact operator semigroups on locally convex vector spaces. In particular we prove new and generalized versions of the mean ergodic…