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Hypercyclic sequences of PDE-preserving operators
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Weakly Hypercyclic Composition Operators on some Hilbert Spaces of Analytic Functions
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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$\epsilon$-hypercyclic operators that are not $\delta$-hypercyclic for $\delta$ < $\epsilon$
For every fixed $\epsilon$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $\delta$-hypercyclic for all $\delta$ $\in$ ($\epsilon$, 1) and which is not $\delta$-hypercyclic for all $\delta$ $\in$ (0, $\epsilon$).
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HYPERCYCLIC OPERATORS ON BANACH SPACES
Panayappan Sethuraman
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Analytic hypercyclic operators
Z. H. Mozhyrovska, A. V. Zagorodnyuk
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ON THE HEREDITARILY HYPERCYCLIC OPERATORS
Bahman Yousefi, Ali Farrokhinia
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International Journal of Mathematics Trends and Technology, 2020
It is known that the frequent hypercyclicity criterion does not characterize frequently hypercyclic operators: F. Bayart and S. Grivaux [Proc. Lond. Math. Soc. (3) 94, No.
Varughese Mathew
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It is known that the frequent hypercyclicity criterion does not characterize frequently hypercyclic operators: F. Bayart and S. Grivaux [Proc. Lond. Math. Soc. (3) 94, No.
Varughese Mathew
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Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces
Let \(X\) be a topological vector space over \(\mathbb{R}\) or \(\mathbb{C}\). A (continuous, linear) operator \(T:X \to X\) is said to be hypercyclic if there exists some \(x \in X\) whose \(T\)-orbit \(\{T^n x: n\in{\mathbb{N}}\}\) is dense in \(X\). In [J.~Funct.~Anal.\ 99, 179--190 (1991; Zbl 0758.47016)], \textit{D.\,Herrero} posed the problem of ...
E Matheron
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Numerically Hypercyclic Operators
Sung Guen Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009854). A. Peris was supported in part by MICINN and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Alfredo Peris +2 more
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