Results 91 to 100 of about 491,446 (159)

Introduction to the dynamical properties of Toeplitz operators on the Hardy space of the unit disc

Concrete Operators
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
Fricain Emmanuel, Ostermann Maëva
doaj   +1 more source

Methods Used in the Development of Common Data Models for Health Data: Scoping Review. [PDF]

JMIR Med Inform, 2023
Ahmadi N, Zoch M, Kelbert P, Noll R, Schaaf J, Wolfien M, Sedlmayr M.   +6 more
europepmc   +1 more source

Supercyclic Weighted Composition Operators on the Space of Smooth Functions

Mathematics
A weighted composition operator on the space of scalar-valued smooth functions on an open subset of a d-dimensional Euclidean space is supercyclic if and only if it is weakly mixing, and it is strongly supercyclic if and only if it is mixing.
Juan Bès, Christopher Foster
doaj   +1 more source

Furstenberg Theorem for Frequently Hypercyclic Operators [PDF]

, 2014
In this paper, we show that if the direct sum T ⊕ T of frequently hypercyclic operators is frequently hypercyclic, then every higher direct sum T ⊕ · · · ⊕ T is also frequently hypercyclic.
Ryong Park, Eunsang Kim, Ansan Kyunggi-Do, Korea Tae   +3 more
core  

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space

四川大学学报. 自然科学版, 2017
We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an
ZHOU Ning, CHEN Cui
doaj  

ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

Journal of Mathematical Analysis and Applications
For every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).
openaire   +1 more source

Existence of Hypercyclic Operators on Topological Vector Spaces [PDF]

, 1997
The present paper introduces a very simple, but very useful notion of the so called quasi-extension ofl1-operators and proves that a large class of topological vector spaces admit continuous hypercyclic operators.
Ansari, Shamim I.
core   +1 more source

Recurrency on the Space of Hilbert-Schmidt Operators

مجلة بغداد للعلوم
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
doaj   +1 more source

Hypercyclic differentiation operators

, 1999
8 ...
Aron, Richard M., Bes, Juan P.
openaire   +2 more sources

Hypercyclic bilinear operators on Banach spaces

, 2020
We study the dynamics induced by an m-linear operator. We answer a question of Bès and Conejero showing an example of an m-linear hypercyclic operator acting on a Banach space.
Cardeccia, Rodrigo Alejandro
core   +1 more source