Results 11 to 20 of about 1,147,699 (174)

Numerically Hypercyclic Operators

Integral Equations and Operator Theory, 2012
Sung Guen Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009854). A. Peris was supported in part by MICINN and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Kim, Sung Guen, Peris, Alfredo, Song, Hyun Gwi   +2 more
openaire   +5 more sources

The Strong Disjoint Blow-Up/Collapse Property

Journal of Function Spaces and Applications, 2013
Let be a topological vector space, and let be the algebra of continuous linear operators on . The operators are disjoint hypercyclic if there is such that the orbit is dense in .
Héctor N. Salas
doaj   +2 more sources

On Some Subspace Codiskcyclic Operators in Banach Spaces

International Journal of Mathematics and Mathematical Sciences
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.
Peter Masong Slaa, Santosh Kumar, Marco Mpimbo   +2 more
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Hypercyclic Generalized Shift Operators

Complex Analysis and Operator Theory, 2023
In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
Ivković, Stefan, Tabatabaie, Seyyed Mohammad   +1 more
openaire   +5 more sources

Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces

Journal of Function Spaces, 2015
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces.
Zoryana Mozhyrovska, Andriy V. Zagorodnyuk   +1 more
doaj   +2 more sources

An Extension of Hypercyclicity for N-Linear Operators

Abstract and Applied Analysis, 2014
Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
doaj   +2 more sources

On the spectrum of supercyclic/hypercyclic operators

Advances in Operator Theory
This paper concerns the spectral structure of hypercyclic and supercyclic operators defined on Banach spaces, or defined on Hilbert spaces. We also consider the spectral properties of operators in Hilbert spaces that commute with a hypercyclic operator ...
P. Aiena, Fabio Burderi̇, Salvatore Triolo   +2 more
semanticscholar   +3 more sources

Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces

Journal of Functional Analysis, 2007
Let \(X\) be a topological vector space over \(\mathbb{R}\) or \(\mathbb{C}\). A (continuous, linear) operator \(T:X \to X\) is said to be hypercyclic if there exists some \(x \in X\) whose \(T\)-orbit \(\{T^n x: n\in{\mathbb{N}}\}\) is dense in \(X\). In [J.~Funct.~Anal.\ 99, 179--190 (1991; Zbl 0758.47016)], \textit{D.\,Herrero} posed the problem of ...
Bayart, Frédéric, Matheron, Etienne
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Dual disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications, 2011
A finite family of operators \(T_1,T_2,\dots ,T_m\), \(m\geq 2\), on a Fréchet space \(E\) is disjointly hypercyclic if there are \(x\in E\) such that \(\{ ( T_1^nx, \dots ,T_m^nx) \mid n\geq 0\}\) is dense in \(E^m\). The author shows that for every separable infinite-dimensional Banach space \(E\), and for each \(m\geq 2\), there is a family of ...
Hector N Salas
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Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces [PDF]

Mathematics and Computational Sciences, 2021
A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward ...
Lotfollah Karimi
doaj   +1 more source