Results 21 to 30 of about 592 (143)

Multiple recurrence and hypercyclicity [PDF]

open access: yes, 2022
We study multiply recurrent and hypercyclic operators as a special case of $\mathcal F$-hypercyclicity, where $\mathcal F$ is the family of subsets of the natural numbers containing arbitrarily long arithmetic progressions. We prove several properties of
Cardeccia, Rodrigo, Muro, Santiago
core   +2 more sources

COMMON FREQUENT HYPERCYCLICITY

open access: yes, 2021
We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criterion and of a recent criterion due to Grivaux, Matheron and Menet where ...
Mestiri, M.   +6 more
core   +1 more source

Hypercyclic operators are subspace hypercyclic

open access: yesJournal of Mathematical Analysis and Applications, 2016
A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni   +2 more
openaire   +2 more sources

A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]

open access: yesProceedings of the American Mathematical Society, 1991
An operator T T acting on a Hilbert space
openaire   +1 more source

On invertible hypercyclic operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1992
Let A A be an invertible (bounded linear) operator acting on a complex Banach space
Herrero, Domingo A., Kitai, Carol
openaire   +2 more sources

Multiples of hypercyclic operators [PDF]

open access: yesProceedings of the American Mathematical Society, 2008
We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T
Badea, Catalin   +2 more
openaire   +4 more sources

Topologically mixing extensions of endomorphisms on Polish groups

open access: yesApplied General Topology, 2022
In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing.
John Burke, Leonardo Pinheiro
doaj   +1 more source

Mini-Workshop: Hypercyclicity and Linear Chaos [PDF]

open access: yes, 2006
The mini-workshop was devoted to the study of hypercyclic and chaotic operators within the wider framework of linear dynamical systems. Topics discussed included common hypercyclic vectors; hypercyclic and supercyclic subspaces; extensions of ...

core   +1 more source

Countably Generated Algebras of Analytic Functions on Banach Spaces

open access: yesAxioms, 2023
In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad   +2 more
doaj   +1 more source

Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution

open access: yesComplexity, Volume 2019, Issue 1, 2019., 2019
Self‐organization is a general mechanism for the creation of new structural pattern of systems. A pattern, in essence, is a relationship, an architecture, a way of organizing, and a structure of order, which can only be explained by information activities.
Kun Wu, Qiong Nan, Quanmin Zhu
wiley   +1 more source

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