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Various notions of subspace hypercyclic power operators and their direct sums in operator spaces

European Journal of Mathematics and Applications
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On the existence of subspace-hypercyclic operators and a new criteria for subspace-hypercyclicity

Advances in Operator Theory, 2020
The 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-hypercyclic conditional weighted composition operators on L^p-spaces

Mathematical Inequalities & Applications
Summary: 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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Dual disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications, 2011
Hector N Salas
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A short proof of existence of disjoint hypercyclic operators

Journal of Mathematical Analysis and Applications, 2010
Stanislav Shkarin
exaly  

Existence of common and upper frequently hypercyclic subspaces

Journal of Mathematical Analysis and Applications, 2015
Juan Bes, Quentin Menet
exaly  

Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces

Proceedings of the London Mathematical Society, 2000
Manuel González, Fernando León-Saavedra   +1 more
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Some Basic Properties of Hypercyclic Operators

Springer Proceedings in Mathematics and Statistics, 2021
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Existence of common hypercyclic subspaces for the derivative operator and the translation operators

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2018
Quentin Menet
exaly  

Rotations of Hypercyclic and Supercyclic Operators

Integral Equations and Operator Theory, 2004
Fernando León-Saavedra
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