Results 41 to 50 of about 592 (143)
Powers of Convex‐Cyclic Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit Tnxn≥0 is dense in X. In this note we study some questions concerned with convex‐cyclic operators. We provide an example of a convex‐cyclic operator T such that the power Tn fails to be convex cyclic.
Fernando León-Saavedra +2 more
wiley +1 more source
A quantitative interpretation of the frequent hypercyclicity criterion
, 2016 We give a quantitative interpretation of the frequent hypercyclicity criterion. Actually we show that an operator which satisfies the frequent hypercyclicity criterion is necessarily $A$-frequently hypercyclic, where $A$ refers to some weighted densities
ROMUALD ERNST +3 more
core +2 more sources
Interactions between universal composition operators and complex dynamics
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou +2 more
wiley +1 more source
Hypercyclic Toeplitz Operators [PDF]
Results in Mathematics, 2016 Minor corrections.
Anton Baranov, Andrei Lishanskii
openaire +3 more sources
, 2023 Recently, new topological properties that an operator acting on a topological vector space can have were introduced: strong hypercyclicity and hypermixing.
Liu, Martin, Walmsley, David
core
On Some Subspace Codiskcyclic Operators in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper introduces the concepts of subspace codiskcyclicity and subspace codisk transitivity, providing criteria and examples that highlight their distinct properties compared to traditional codiskcyclic operators and hypercyclic operators. The paper also demonstrates the existence of subspace codiskcyclic operators in finite‐dimensional Banach ...
Peter Masong Slaa +3 more
wiley +1 more source
The Strong Disjoint Blow‐Up/Collapse Property
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 Let X be a topological vector space, and let ℬ(X) be the algebra of continuous linear operators on X . The operators T1, …, TN ∈ ℬ(X) are disjoint hypercyclic if there is x ∈ X such that the orbit {(T1n(x),…,TNn(x)):n∈ℕ} is dense in X × …×X . Bès and Peris have shown that if T1, …, TN satisfy the Disjoint Blow‐up/Collapse property, then they are ...
Héctor N. Salas, Ajda Fošner
wiley +1 more source
Dynamics of multivalued linear operators
Open Mathematics, 2017 We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan +3 more
doaj +1 more source
Hypercyclicity of Composition Operators on Orlicz Function Spaces
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we discuss the hypercyclic properties of composition operators on Orlicz function spaces. We give some different conditions under which a composition operator on Orlicz spaces is hyper-cyclic or not. Similarly, multiplication operators are
Jafari F., Kamali Z.
doaj +1 more source
On Expansive Mappings and Non-hypercyclicity [PDF]
, 2019 We take a close look at the nature of expansive mappings on certain metric spaces (compact, totally bounded, and bounded), provide a finer classification for such mappings, and use them to characterize boundedness.
Sichel, Edward Simon
core +1 more source