Results 31 to 40 of about 98 (84)

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
doaj  

LIMITS OF HYPERCYCLIC AND SUPERCYCLIC OPERATOR MATRICES [PDF]

Journal of the Australian Mathematical Society, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Supercyclicity in the operator algebra [PDF]

Studia Mathematica, 2002
This paper presents extensions of results due to [\textit{K. C. Chan}, J. Oper. Theory 42, No.~2, 231-244 (1999; Zbl 0997.47058) and \textit{K. C. Chan} and \textit{R. D. Taylor jun.}, Integral equation Oper. Theory 41, No. 4, 381-399 (2001; Zbl 0995.46014)], concerning hypercyclicity of operators defined on the algebra of all the operators on a ...
Montes-Rodríguez, Alfonso, Romero-Moreno, M. Carmen   +1 more
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On hypercyclicity and supercyclicity criteria [PDF]

Bulletin of the Australian Mathematical Society, 2004
We show that the Hypercyclicity Criterion coincides with other existing hypercyclicity criteria and prove that a wide class of hypercyclic operators satisfy the Criterion. The results obtained extend or improve earlier work of several authors. We also unify the different versions of the Supercyclicity Criterion and show that operators with dense ...
Bermúdez, Teresa, Bonilla, Antonio, Peris, Alfredo   +2 more
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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  

Supercyclicity with Respect to a Sequence on Special Sequence Spaces

Journal of Mathematical Extension, 2007
Let {β(n)}∞ n=−∞ be a sequence of positive numbers such that β(0) = 1 and let 1 < p < ∞. We consider the space of all formal Laurent series f(z) = P∞ n=−∞ ˆf(n)z n such that X∞ n=−∞ | ˆf(n)| pβ(n) p < ∞.
S. Foroutan, and B. Yousef, J. Doroodgar
doaj  

On supercyclic sets of operators

, 2018
11 ...
Amouch, Mohamed, Benchiheb, Otmane
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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}.
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Super-Shadowing and Supercyclicity

Mediterranean Journal of Mathematics
We introduce the super-shadowing property in linear dynamics, where pseudotrajectories are approximated by sequences of the form $(λ_nT^nx)$, with $(λ_n)_n$ being complex scalars. For compact operators on Banach spaces, we characterize the operators that possess the positive super-shadowing property and the positive limit super-shadowing property ...
Cabezas, Eric, Saavedra, Manuel
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On the set of supercyclic operators

Bulletin of the London Mathematical Society
AbstractIn this article, we address a problem posed by Bayart regarding the existence of an infinite‐dimensional closed vector subspace (excluding the null operator) within the set of supercyclic operators on Banach spaces. We fully resolve this problem by establishing the existence of the closed subspace.
Thiago R. Alves, Gustavo C. Souza
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