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On the direct sum of two bounded linear operators and subspace-hypercyclicity [PDF]

, 2015
Nareen Bamerni, Adem Kılıçman
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Hypercyclic Extensions of an Operator on a Hilbert Subspace with Prescribed Behaviors

, 2013
Gokul R. Kadel
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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 abelian linear semigroups

Journal of Mathematical Analysis and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salah Herzi, Habib Marzougui
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Subspace-hypercyclicity of conditional weighted translations on locally compact groups

Positivity, 2022
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M. R. Azimi, M. Farmani
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Hypercyclic subspaces

, 2009
Frédéric Bayart, Étienne Matheron
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Notes on subspace-hypercyclic operators

Journal of Mathematical Analysis and Applications, 2012
Let \(X\) be a separable infinite-dimensional Banach space. A recent new notion in linear dynamics 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)], namely, the notion of subspace-hypercyclicity.
Hamid Rezaei
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Spectral theory and hypercyclic subspaces [PDF]

Transactions of the American Mathematical Society, 2000
Let \(T\) be a bounded linear operator in a Hilbert space \(H\). A vector \(x\) in \(H\) is called hypercyclic for \(T\) if its orbit \((T^n x : n > 0)\) is dence in \(H\). The main results of the authors reads as follows: If \(T\) satisfy the hypercyclicty criterion of C.
Fernando León-Saavedra, Alfonso Montes-Rodrı́guez   +1 more
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Hypercyclic subspaces and weighted shifts

Advances in Mathematics, 2014
27 ...
Quentin Menet
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Frequently hypercyclic subspaces

Monatshefte für Mathematik, 2012
In [\textit{L. B. González} and \textit{A. Montes Rodríguez}, J. Approx. Theory 82, No. 3, 375--391 (1995; Zbl 0831.30024)], the authors started a new line of investigation by asking if an operator can possess an infinite-dimensional closed subspace all of whose non-zero vectors are hypercyclic, that is, vectors with a dense orbit.
Bonilla, A., Grosse-Erdmann, K.-G.
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