Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System
The spectrum of the Koopman operator has been shown to encode many important
statistical and geometric properties of a dynamical system. In this work, we consider induced …
statistical and geometric properties of a dynamical system. In this work, we consider induced …
Uniform enveloping semigroupoids for groupoid actions
N Edeko, H Kreidler - Journal d'Analyse Mathématique, 2022 - Springer
We establish new characterizations for (pseudo) isometric extensions of topological
dynamical systems. For such extensions, we also extend results about relatively invariant …
dynamical systems. For such extensions, we also extend results about relatively invariant …
[PDF][PDF] Weighted Koopman semigroups on Banach modules
S Siewert - 2020 - tobias-lib.ub.uni-tuebingen.de
It is an old idea, going back to J. von Neumann and BO Koopman, 1 to assign to nonlinear
dynamics on a (topological or measurable) state space corresponding linear operators on …
dynamics on a (topological or measurable) state space corresponding linear operators on …
Gelfand-type theorems for dynamical Banach modules
H Kreidler, S Siewert - Mathematische Zeitschrift, 2021 - Springer
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 …
and AL-spaces are the basis for the Koopman linearization of topological and measure …
[图书][B] Theory and Applications of Pull-Back Operator Methods in Dynamical Systems
AM Avila - 2020 - search.proquest.com
During the 1930s, researchers realized that an abstract dynamical system induces a group
of linear operators acting on the space of square-integrable functions. For measure …
of linear operators acting on the space of square-integrable functions. For measure …