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Invertible Subspace-Hypercyclic Operators
A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
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Disjoint subspace-hypercyclic operators on separable Banach spaces
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Chen, Renyu, Chen, Xiang, Zhou, Zehua
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SUFFICIENT CONDITIONS FOR SUBSPACE-HYPERCYCLICITY [PDF]
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IRREGULAR VECTORS AND SUBSPACE-HYPERCYCLIC OPERATORS
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Various notions of subspace hypercyclic power operators and their direct sums in operator spaces
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On the existence of subspace-hypercyclic operators and a new criteria for subspace-hypercyclicity
Advances in Operator Theory, 2020The notion of subspace-hypercyclicity was introduced by \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} in [J. Math. Anal. Appl. 373, No. 2, 502--511 (2011; Zbl 1210.47023)]. A~bounded linear operator \( T \) on a Banach space \(X\) is called subspace-hypercyclic for a nonzero subspace \(M\) of \(X\), or simply, \(M\)-hypercyclic, if there ...
André Augusto, Leonardo Pellegrini
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Subspace-hypercyclicity of conditional weighted translations on locally compact groups
Positivity, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. R. Azimi, M. Farmani
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Subspace-hypercyclic conditional weighted composition operators on L^p-spaces
Mathematical Inequalities & ApplicationsSummary: A conditional weighted composition operator \(T_u : L^p (\Sigma) \rightarrow L^p (\mathcal{A})(1\leqslant p
Azimi, Mohammad Reza, Naghdi, Z.
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