Results 91 to 100 of about 1,158,171 (157)

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space

open access: yes四川大学学报. 自然科学版, 2017
We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an
ZHOU Ning, CHEN Cui
doaj  

Recurrency on the Space of Hilbert-Schmidt Operators

open access: yesمجلة بغداد للعلوم
In this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
doaj   +1 more source

GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

open access: yesВестник Донского государственного технического университета, 2018
Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
doaj  

Subspace-diskcyclic sequences of linear operators [PDF]

open access: yesSahand 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  

GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

open access: yesAdvanced Engineering Research, 2010
Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and  Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
doaj  

Note on epsilon-cyclic operator

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences
In this paper, we investigated the concept of ε-diskcyclic operators on a separable infinite-dimensional Hilbert space . A bounded linear operator  is called -diskcyclic if there exists a vector in  such that its disk orbit  visits every cone of ...
Muammer Badree Abed, Zeana Zaki Jamil
doaj   +1 more source

On numerically hypercyclic operators

open access: yes, 2013
According to Kim, Peris and Song, a continuous linear operator $T$ on a complex Banach space $X$ is called {\it numerically hypercyclic} if the numerical orbit $\{f(T^nx):n\in\N\}$ is dense in $\C$ for some $x\in X$ and $f\in X^*$ satisfying $\|x\|=\|f\|=f(x)=1$. They have characterized numerically hypercyclic weighted shifts and provided an example of
openaire   +2 more sources

On hypercyclic operators in weighted spaces of infinitely differentiable functions

open access: yesУфимская осенняя математическая школа - 2022. Т.1, 2022

semanticscholar   +1 more source

On the Weakly Hypercyclic Composition Operators on Hardy Spaces

open access: yesJournal of Mathematical Extension, 2010
An operator T on a Banach space X is said to be weakly hypercyclic if there exists a vector x ∈ X whose orbit under T is weakly dense in X. We show that every weakly hypercyclic composition operator on classic Hardy space H2 is norm hypercyclic.
H. Rezaei
doaj  

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

open access: yes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  

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