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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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ON THE HEREDITARILY HYPERCYCLIC OPERATORS
Bahman Yousefi, Ali Farrokhinia
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Analytic hypercyclic operators
Z. H. Mozhyrovska, A. V. Zagorodnyuk
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Numerically Hypercyclic Operators
Integral Equations and Operator Theory, 2012Sung 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.
Alfred Peris +2 more
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Syndetically Hypercyclic Operators
Integral Equations and Operator Theory, 2005A sequence \((T_n)_{n\geq 0}\) of bounded operators on a separable \(\mathcal{F}\)-space \(X\) is hypercyclic if there exists a vector \(x\) in \(X\) such that the set \(\{T_n x \; ; \; n\geq 0\}\) is dense in \(X\). An operator \(T\) on \(X\) is hypercyclic if the sequence \((T^n)_{n\geq 0}\) of its powers is hypercyclic.
Peris, Alfredo, Saldivia, Luis
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