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Hypercyclicity Properties of Commutator Maps [PDF]
, 2016 Clifford Gilmore +2 more
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HYPERCYCLIC OPERATOR WEIGHTED SHIFTS
Bulletin of the Korean Mathematical Society, 2004 A bounded linear operator \(T\) on a Hilbert space \(H\) is said to be hypercyclic if, for some \(x \in H\), the orbit \(\{T^{n}x : n=0,1,2,\dots \}\) is dense in \(H\). In the paper under review, the authors give a characterization for hypercyclicity of a bilateral operator weighted shift \(T\) on the Hilbert space \(L^{2}(K)\).
Hazarika, Munmun, Arora, S. C.
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Frequent hypercyclicity and piecewise syndetic recurrence sets [PDF]
, 2017 Yunied Puig
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Journal of Functional Analysis, 2019 We prove the existence of algebras of hypercyclic vectors in three cases: convolution operators, composition operators, and backward shift operators.
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Some Results on Subspace-Hypercyclic Operators [PDF]
, 2019 André Augusto, Leonardo Pellegrini
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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
doaj
HYPERCYCLICITY OF WEIGHTED COMPOSITION OPERATORS ON THE UNIT BALL OF ℂN [PDF]
, 2011 Renyu Chen, Ze‐Hua Zhou
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