Results 91 to 100 of about 1,297 (140)

Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity

Ergodic Theory and Dynamical Systems
AbstractWe introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity. This notion is useful for the study of the dynamical properties of direct sums of operators; in particular, a basic observation is that the direct sum of a hereditarily frequently hypercyclic ...
FRÉDÉRIC BAYART, SOPHIE GRIVAUX, ÉTIENNE MATHERON, QUENTIN MENET   +3 more
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GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Вестник 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
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GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS

Advanced 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
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Note on epsilon-cyclic operator

Ibn 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
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Extending families of disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications
In the present note, we solve two open questions posed by Salas in [H. Salas, The strong disjoint blow-up/collapse property, J. Funct. Spaces Appl., 2013, Article ID 146517, 6 pages] about disjoint hypercyclic operators. First, we show that given any family $T_1, \dots, T_N$ of disjoint hypercyclic operators, one can always select an operator $T$ such ...
Özgür Martin, Rebecca Sanders
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F-hypercyclic operators on Fréchet spaces

Publications de l'Institut Mathematique, 2019
We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces.
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On the Weakly Hypercyclic Composition Operators on Hardy Spaces

Journal 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
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On Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
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On numerically hypercyclic operators

, 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
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Weakly Hypercyclic Composition Operators on some Hilbert Spaces of Analytic Functions

Journal of Mathematical Extension, 2013
In this paper, weakly supercyclicity and weakly hypercyclicity of composition operators on some Hilbert spaces of analytic functions, especially on some weighted Hardy spaces are investigated.
Z. Kamali
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