Results 1 to 10 of about 23 (17)

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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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 . We give a sufficient condition for such an operator to be M M -hypercyclic and use it to answer negatively two questions asked by ...
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On subspace-diskcyclicity

Arab Journal of Mathematical Sciences, 2017
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace ...
Nareen Bamerni, Adem Kılıçman
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Hypercyclictty and Countable Hypercyclicity for Adjoint of Operators

مجلة بغداد للعلوم, 2010
Let be an infinite dimensional separable complex Hilbert space and let , where is the Banach algebra of all bounded linear operators on . In this paper we prove the following results. If is a operator, then 1.
Baghdad Science Journal
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SUBSPACE-HYPERCYCLIC TUPLES OF OPERATORS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper we introduce subspace-hypercyclic tuples of operators and construct interesting examples of such operators. We state some sufficient conditions for n-tuples of operators to be subspace-hypercyclic. Surprisingly, we prove that subspace-hypercyclic tuples exist on finite-dimensional spaces.
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Hypercyclic operators are subspace hypercyclic

Journal of Mathematical Analysis and Applications, 2016
A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni, Vladimir Kadets, Adem Kılıçman   +2 more
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Subspace-hypercyclic conditional type operators on $L^p$-spaces

, 2022
A conditional weighted composition operator $T_u: L^p(Σ)\rightarrow L^p(\mathcal{A})$ ($1\leq p<\infty$), is defined by $T_u(f):= E^{\mathcal{A}}(u f\circ φ)$, where $φ: X\rightarrow X$ is a measurable transformation, $u$ is a weight function on $X$ and $E^{\mathcal{A}}$ is the conditional expectation operator with respect to $\mathcal{A}$.
Azimi, M. R., Naghdi, Z.
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Subspace hypercyclicity for Toeplitz operators

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martínez-Avendaño, Rubén A., Zatarain-Vera, Oscar   +1 more
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Subspace-diskcyclic sequences of linear operators [PDF]

Sahand Communications in Mathematical Analysis, 2017
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear  operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}
Mohammad Reza Azimi
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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.
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