Results 71 to 80 of about 131 (122)
ε-hypercyclic operators that are not δ-hypercyclic for δ < ε
Journal of Mathematical Analysis and ApplicationsFor every fixed $ε$ $\in$ (0, 1), we construct an operator on the separable Hilbert space which is $δ$-hypercyclic for all $δ$ $\in$ ($ε$, 1) and which is not $δ$-hypercyclic for all $δ$ $\in$ (0, $ε$).
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Journal of Functional Analysis, 2003 A (bounded) operator \(T\) on a complex infinite-dimensional separable Banach space \(X\) is said to be hypercyclic if there is a (hypercyclic) vector \(x \in X\) such that its orbit \(O(T,x):=\{x,Tx,T^2x,\dots\}\) is dense in \(X\). The operator \(T\) is called chaotic if it is hypercyclic and the set of periodic points of \(T\) is dense in \(X ...
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Hypercyclic Composition Operators
Journal of Vasyl Stefanyk Precarpathian National University, 2015 In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions
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Hypercyclic and Cyclic Vectors
Journal of Functional Analysis, 1995 Let \(\mathcal X\) denote a separable complex Banach space. A vector \(x\in {\mathcal X}\) is said to be hypercyclic for an operator \(T\) on \(\mathcal X\) if the set \(\{T^n x: n\in \mathbb{N}\}\) is norm dense in \(\mathcal X\). We say that \(x\) is supercyclic if the set \(\{aT^n x: n\in \mathbb{N}, a\in \mathbb{C}\}\) is norm dense. An operator is
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On the Epsilon Hypercyclicity of a Pair of Operators
Journal of Mathematical Extension, 2011 In this paper we prove that if a pair of operators is - hypercyclic for all > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
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Cyclic variations in the dynamics of flu incidence in Azerbaijan, 1976-2000. [PDF]
Epidemiol Infect, 2015 Dimitrov BD, Babayev ES.
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$\epsilon$-hypercyclic operators that are not $\delta$-hypercyclic for $\delta$ < $\epsilon$
, 2023 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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