Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Kreidler, Henrik"'
We consider a bounded representation $T$ of a commutative semigroup $S$ on a Banach space and analyse the relation between three concepts: (i) properties of the unitary spectrum of $T$, which is defined in terms of semigroup characters on $S$; (ii) u
Externí odkaz:
http://arxiv.org/abs/2408.08961
We establish that a relatively ergodic extension of arbitrary measure-preserving dynamical systems has relative discrete spectrum if and only if it is isomorphic to a generalized skew-product by a bundle of compact homogeneous spaces. This result is
Externí odkaz:
http://arxiv.org/abs/2302.13630
Autor:
Hermle, Patrick, Kreidler, Henrik
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 measure-preserving irreducible systems with discrete spectrum are equ
Externí odkaz:
http://arxiv.org/abs/2204.07093
Autor:
Edeko, Nikolai, Kreidler, Henrik
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 a minimal distal model. We show that such a model can, in fact, be ch
Externí odkaz:
http://arxiv.org/abs/2202.03456
We provide a dynamical proof of the van der Corput inequality for sequences in Hilbert spaces that is based on the Furstenberg correspondence principle. This is done by reducing the inequality to the mean ergodic theorem for contractions on Hilbert s
Externí odkaz:
http://arxiv.org/abs/2106.11835
In this paper, a decomposition theorem for (covariant) unitary group representations on Kaplansky-Hilbert modules over Stone algebras is established, which generalizes the well-known Hilbert space case (where it coincides with the decomposition of Ja
Externí odkaz:
http://arxiv.org/abs/2104.04865
Autor:
Edeko, Nikolai, Kreidler, Henrik
We establish new characterizations for (pseudo)isometric extensions of topological dynamical systems. For such extensions, we also extend results about relatively invariant measures and Fourier analysis that were previously only known in the minimal
Externí odkaz:
http://arxiv.org/abs/2009.13206
Autor:
Farkas, Bálint, Kreidler, Henrik
The Koopman linearization of measure-preserving systems or topological dynamical systems on compact spaces has proven to be extremely useful. In this article we look at dynamics given by continuous semiflows on completely regular spaces which arise n
Externí odkaz:
http://arxiv.org/abs/2009.12074
Autor:
Farkas, Bálint, Kreidler, Henrik
We investigate for a bounded semigroup of linear operators $S$ on a Banach space $E$ and a vector $x \in E$, when relative compactness of $S(I-T)x$ for every $T \in S$ implies relative compactness of the orbit $Sx$. In particular, we derive character
Externí odkaz:
http://arxiv.org/abs/2003.11364
Autor:
Kreidler, Henrik
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 structure of its fixed space. For this purpose we focus on primitive S-ideals
Externí odkaz:
http://arxiv.org/abs/1711.01607