Results 41 to 50 of about 184 (111)

Dynamics of composition operators on weighted Banach Spaces of holomorphic functionsweighted Banach space

四川大学学报. 自然科学版, 2017
In this paper, we discuss the disjoint hypercyclicity of linear composition on the weighted Banach spaces.Moreover,according to the difference of the analytic maps,we obtain a sufficient condition for the disjoint hypercyclicity and disjoint ...
HU Xiao-He
doaj  

Disjoint and simultaneous hypercyclic Rolewicz-type operators

, 2021
We characterize disjoint hypercyclic and supercyclic tuples of unilateral Rolewicz-type operators on $c_0(\N)$ and $\ell^p(\N)$, $p \in [1, \infty)$, which are a generalization of the unilateral backward shift operator.
Martin, Özgür, Çolakoğlu, Nurhan, Nurhan ÇOLAKOĞLU, Özgür MARTİN   +3 more
core   +1 more source

Compositional hypercyclicity equals supercyclicity [PDF]

, 2007
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– if and only if it is supercyclic ...
Bonilla Ramírez, Antonio Lorenzo, Bernal González, Luis, Calderón Moreno, María del Carmen   +2 more
core  

On the continuous Cesàro operator in certain function spaces [PDF]

, 2015
Various properties of the (continuous) Cesàro operator C, acting on Banach and Fréchet spaces of continuous functions and $L_p$-spaces, are investigated.
ALBANESE, Angela Anna, W. J. Ricker, Ricker, Werner J., J. Bonet, Bonet Solves, José Antonio, Bonet, José, Ricker, Werner Joseph, Albanese, Angela A.   +7 more
core   +1 more source

Property (ω1) and Weyl type theorem

, 2010
In this note we define the property (ω1), a variant of Weyl's theorem, and establish for a bounded linear operator defined on a Banach space the sufficient and necessary conditions for which property (ω1) holds by means of the variant of the essential ...
Dai, Lei, Cao, Xiaohong, Sun, Chenhui
core   +1 more source

Non supercyclic subsets of linear isometries on Banach spaces of analytic functions [PDF]

, 2015
summary:Let $X$ be a Banach space of analytic functions on the open unit disk and $\Gamma $ a subset of linear isometries on $X$. Sufficient conditions are given for non-supercyclicity of $\Gamma $.
Hedayatian, Karim, Moradi, Abbas, Ansari, Mohammad, Khani Robati, Bahram   +3 more
core   +1 more source

On supercyclic sets of operators

, 2018
11 ...
Amouch, Mohamed, Benchiheb, Otmane
openaire   +2 more sources

LIMITS OF WEAKLY HYPERCYCLIC AND SUPERCYCLIC OPERATORS [PDF]

Glasgow Mathematical Journal, 2005
A bounded operator \(T\) an a complex separable Hilbert space \(H\) is said to be hypercyclic (written \(T\in HC(H)\)) if there exists \(x\in H\) such that \(\mathcal{O}rb(T,x)=\{T^{n}x ; n\geq 0\}\) is dense in \(H\). It is said to be weakly hypercyclic (\(T\in WHC(H)\)) if there exists \(x\in H\) such that \(\mathcal{O}rb(T,x)\) is weakly dense in ...
openaire   +1 more source

Hypercyclic tuples of operators on $C^n$ and $R^n$

, 2012
A tuple $(T_1,\dots,T_n)$ of continuous linear operators on a topological vector space $X$ is called hypercyclic if there is $x\in X$ such that the the orbit of $x$ under the action of the semigroup generated by $T_1,\dots,T_n$ is dense in $X$.
Shkarin, Stanislav
core  

Frequently supercyclic operators and frequently supercyclic C0-semigroups

Boletim da Sociedade Paranaense de Matemática
In this paper, the concept of frequent supercyclicity for operators and for C0-semigroups is defined. It is proved that if an operator T is frequently supercyclic, then T^n and {\lambda}T are frequently supercyclic for any natural number n and any non-zero scalar {\lambda}.
openaire   +1 more source