Results 1 to 10 of about 100 (68)
Some questions about subspace-hypercyclic operators [PDF]
Journal of Mathematical Analysis and Applications, 2013 A bounded linear operator T 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∈ M. We show examples that answer some questions posed by H. Rezaei (2013) [7].
A. Peris +9 more
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Hypercyclic operators are subspace hypercyclic [PDF]
Journal of Mathematical Analysis and Applications, 2016 In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9].
Nareen Bamerni, Vladimir Kadets
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Subspace-Hypercyclic Abelian Semigroups of Matrices on $${\mathbb {R}}^{n}$$
Results in Mathematics, 2021 A bounded linear operator $T$ on a Banach space $X$ is called subspace-hypercyclic if there is a subspace $M \subsetneq X$ and a vector $x \in X$ such that $orb{(x,T)} \cap M$ is dense in $M$. We show that every Banach space supports subspace-hypercyclic operators and provide a new criteira for subspace-hypercyclic operators, generalizing a previous ...
Habib Marzougui, Salah Herzi
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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.
Habib Marzougui, Salah Herzi
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Notes on subspace-hypercyclic operators
Journal of Mathematical Analysis and Applications, 2013 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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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 ...
Andre Quintal Augusto
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About Subspace-Frequently Hypercyclic Operators [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we introduce subspace-frequently hypercyclic operators. We show that these operators are subspace-hypercyclic and there are subspace-hypercyclic operators that are not subspace-frequently hypercyclic. There is a criterion like to subspace-
Mansooreh Moosapoor, Mohammad Shahriari
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Journal of Mathematical Analysis and Applications, 2010 A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set.
Madore, Blair F. +1 more
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Subspace-hypercyclic weighted shifts [PDF]
Operators and Matrices, 2018 Our aim in this paper is to obtain necessary and sufficient conditions for bilateral and unilateral weighted shift operators to be subspace-transitive. We show that the Herrero question [6] holds true even on a subspace of a Hilbert space, i.e.
Bamerni, Nareen, Kılıçman, Adem
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On subspace-hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2011 In this paper we study an operator T T on a Banach space E E which is M M -hypercyclic for some subspace M M of E E .
Can Le
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