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On supercyclic sets of operators
11 ...
Amouch, Mohamed, Benchiheb, Otmane
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Supercyclicity and weighted shifts [PDF]
After introducing the notion of cyclicity, hypercyclicity and supercyclicity the author presents a sufficient criterion for supercyclicity in Fréchet spaces along with some of its consequences. These results are used for characterizing the supercyclic bilateral shifts in terms of their weight sequences.
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Frequently supercyclic operators and frequently supercyclic C0-semigroups
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
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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Ni80Fe20 nanotubes with optimized spintronic functionalities prepared by atomic layer deposition.
Giordano MC +4 more
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On the set of supercyclic operators
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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Atomic Layer Etching of Nickel Using N<sub>2</sub>/H<sub>2</sub> Plasma Exposure and Hexafluoroacetylacetone. [PDF]
Ali AM +7 more
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Effect of Rapid Thermal Annealing on the Characteristics of Micro Zn-Doped Ga<sub>2</sub>O<sub>3</sub> Films by Using Mixed Atomic Layer Deposition. [PDF]
Tao J +6 more
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SUPERCYCLICITY OF TWO-ISOMETRIES
M. Faghih Ahmadi, K. Hedayatian
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The Volterra Operator is not Supercyclic
Integral Equations and Operator Theory, 2004If \((B,\|.\|_B)\) is a Banach space with norm \(\|.\|_B\), then according to statements of the introduction of this paper, a bounded linear operator \(T\) on \(B\) is said to be supercyclic if there is a vector \(f\) in \(B\) such that \[ \{\lambda_n T^n(f),\,\lambda_n\in \mathbb{C},\;n= 0,1,2,3,\dots\} \] constitutes a dense subspace of \(B\).
Montes-Rodríguez Alfonso
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