Hypercyclic operators are subspace hypercyclic
Journal 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
Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]
Ergodic Theory and Dynamical SystemsWe introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity.
F. Bayart +3 more
semanticscholar +1 more source
Hypercyclicity for the Elements of the Commutant of an Operator [PDF]
Integral Equations and Operator Theory, 2014 ABSTRACT:Given a bounded linear operator T acting on a complex Banach space, we obtain a spectral condition implying that each operator in the commutant of T different from ?I has a hypercyclic multiple, and we show several examples of operators satisfying this condition.
González Ortiz, Manuel +1 more
openaire +2 more sources
Operators Approximable by Hypercyclic Operators [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2015 We show that operators on a separable infinite dimensional Banach space $X$ of the form $I +S$, where $S$ is an operator with dense generalised kernel, must lie in the norm closure of the hypercyclic operators on $X$, in fact in the closure of the mixing operators.
openaire +4 more sources
Hypercyclic and mixing composition operators on OM(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathscr {O}}_M( [PDF]
RACSAM, 2023 In this paper we characterize mixing composition operators acting on the space OM(R)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
T. Kalmes, A. Przestacki
semanticscholar +1 more source
Hypercyclic operators on algebra of symmetric analytic functions on $\ell_p$
Karpatsʹkì Matematičnì Publìkacìï, 2016 In the paper, it is proposed a method of construction of hypercyclic composition operators on $H(\mathbb{C}^n)$ using polynomial automorphisms of $\mathbb{C}^n$ and symmetric analytic functions on $\ell_p.$ In particular, we show that an "symmetric ...
Z.G. Mozhyrovska
doaj +1 more source
A Hypercyclic Operator whose Adjoint is Also Hypercyclic [PDF]
Proceedings of the American Mathematical Society, 1991 An operator T T acting on a Hilbert space
openaire +1 more source
q-Frequent hypercyclicity in spaces of operators [PDF]
Monatshefte für Mathematik, 2016 We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces. In particular, if $R$ is a bounded operator satisfying the $q$-Frequent Hypercyclicity Criterion, then the map $C_{R}(S)$=$RSR^*$ is shown to be $q$-frequently hypercyclic on the space $\mathcal{K}(H)$
Gupta, Manjul, Mundayadan, Aneesh
openaire +2 more sources
Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution
Complexity, 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
Hypercyclic operators on Lipschitz spaces [PDF]
Математичні Студії, 2013 We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey +2 more
doaj