Results 51 to 60 of about 1,147,699 (174)

Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators

مجلة بغداد للعلوم, 2010
Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
doaj   +1 more source

Dynamics of tuples of matrices [PDF]

, 2008
In this article we answer a question raised by N. Feldman in \cite{Feldman} concerning the dynamics of tuples of operators on $\mathbb{R}^n$. In particular, we prove that for every positive integer $n\geq 2$ there exist $n$ tuples $(A_1, A_2, ..., A_n ...
Costakis, George, Hadjiloucas, Demetris, Manoussos, Antonios   +2 more
core   +1 more source

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

THE LINEAR DYNAMIC OF A HYPERCYCLIC TUPLE OF OPERATORS SUCH AS BIHYPERCYCLICITY GENERATOR

Revista de Matemática: Teoría y Aplicaciones, 2017
In this paper we study the art of recent work Grosse-Erdmann & Kim [6], highlighting as a hypercyclic tuples of operators is a source to build bihypercyclic bilinear mappings.
NELYDA VARGAS DUQUE
doaj   +1 more source

$q$-Frequent hypercyclicity in spaces of operators [PDF]

, 2016
We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces.
Gupta, Manjul, Mundayadan, Aneesh
core   +1 more source

Commutation relations and hypercyclic operators [PDF]

, 2012
In this paper we establish hypercyclicity of continuous linear operators on $H(\mathbb{C})$ that satisfy certain commutation relations.Comment: Published in Archiv der Mathematik, the final publication is available at springerlink ...
Kim, Vitaly E.
core   +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

Chaos on Fuzzy Dynamical Systems

Mathematics, 2021
Given a continuous map f:X→X on a metric space, it induces the maps f¯:K(X)→K(X), on the hyperspace of nonempty compact subspaces of X, and f^:F(X)→F(X), on the space of normal fuzzy sets, consisting of the upper semicontinuous functions u:X→[0,1] with ...
Félix Martínez-Giménez, Alfred Peris, Francisco Rodenas   +2 more
doaj   +1 more source

J-class weighted shifts on the space of bounded sequences of complex numbers

, 2008
We provide a characterization of $J$-class and $J^{mix}$-class unilateral weighted shifts on $l^{\infty}(\mathbb{N})$ in terms of their weight sequences. In contrast to the previously mentioned result we show that a bilateral weighted shift on $l^{\infty}
Costakis, George, Manoussos, Antonios
core   +1 more source

Chaotic and frequently hypercyclic operators in the weighted space of entire functions

Mathematics and Theoretical Computer Science
We study the issues of chaoticity and frequently hypercyclicity of various operators in the weighted space Fφ(Cn), defined as the projective limit of Banach spaces. Theorems 8–13 consider the cases of differentiation and shift operators, as well as their
A. I. Rakhimova
semanticscholar   +1 more source