Results 21 to 30 of about 893 (111)

Hypercyclic algebras for D-multiples of convolution operators [PDF]

, 2018
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.Plan Andaluz de Investigación (
Bernal González, Luis, Calderón Moreno, María del Carmen   +1 more
core   +1 more source

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata, Marko Kostić, Khalil Ezzinbi   +2 more
wiley   +1 more source

Difference sets and frequently hypercyclic weighted shifts [PDF]

, 2013
We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on $\ell^p(\mathbb Z)$, $p\geq 1$.
Bayart, Frédéric, Ruzsa, Imre
core   +3 more sources

S‐Mixing Tuple of Operators on Banach Spaces

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang, Yonglu Shu, Xingzhong Wang, Enrique Llorens-Fuster   +3 more
wiley   +1 more source

Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
doaj  

Strongly mixing convolution operators on Fr\'echet spaces of holomorphic functions [PDF]

, 2014
A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on $\mathbb{C}^n$ are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have frequently hypercyclic functions of ...
Muro, Santiago, Pinasco, Damián, Savransky, Martín   +2 more
core   +2 more sources

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

Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
Zoryana Mozhyrovska, Andriy V. Zagorodnyuk, Eva A. Gallardo Gutiérrez   +2 more
wiley   +1 more source

Hypercyclic and Cyclic Vectors

Journal of Functional Analysis, 1995
Let \(\mathcal X\) denote a separable complex Banach space. A vector \(x\in {\mathcal X}\) is said to be hypercyclic for an operator \(T\) on \(\mathcal X\) if the set \(\{T^n x: n\in \mathbb{N}\}\) is norm dense in \(\mathcal X\). We say that \(x\) is supercyclic if the set \(\{aT^n x: n\in \mathbb{N}, a\in \mathbb{C}\}\) is norm dense. An operator is
openaire   +1 more source

Chaos for Cosine Operator Functions on Groups

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Let 1 ≤ p < ∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously.
Chung-Chuan Chen, Wei-Shih Du
wiley   +1 more source

An Extension of Hypercyclicity for N‐Linear Operators

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 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. Under this new notion, every separable infinite dimensional Fréchet space supports supercyclic N‐linear ...
Juan Bès, J. Alberto Conejero, Manuel Maestre   +2 more
wiley   +1 more source