3 papers
math.DS2026
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…
math.FA2024
Uniform ergodic theorems for semigroup representations
Jochen Glück, Patrick Hermle, Henrik Kreidler
We consider a bounded representation of a commutative semigroup on a Banach space and analyse the relation between three concepts: (i) properties of the unitary spectrum of…
math.DS2022
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…