Results 1 to 10 of about 27 (20)
About Subspace-Frequently Hypercyclic Operators [PDF]
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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M-hypercyclicity of C0-semigroup and Svep of its generator
Let 𝒯 = (Tt)t≥0 be a C0-semigroup on a separable infinite dimensional Banach space X, with generator A. In this paper, we study the relationship between the single valued extension property of generator A, and the M-hypercyclicity of the C0-semigroup ...
Toukmati A.
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Subspace-hypercyclic weighted shifts [PDF]
Our aim in this paper is to obtain necessary and sufficient conditions for weighted shift operators on the Hilbert spaces $\ell^{2}(\mathbb Z)$ and $\ell^{2}(\mathbb N)$ to be subspace-transitive, consequently, we show that the Herrero question (D. A. Herrero. Limits of hypercyclic and supercyclic operators, J. Funct.
Bamerni, Nareen, Kiliçman, Adem
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15 ...
Madore, Blair F. +1 more
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On subspace-hypercyclic operators [PDF]
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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SUBSPACE-HYPERCYCLIC TUPLES OF OPERATORS [PDF]
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
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 +2 more
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Subspace-hypercyclic conditional type operators on $L^p$-spaces
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
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Martínez-Avendaño, Rubén A. +1 more
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Subspace-hypercyclic abelian linear semigroups
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Herzi, Salah, Marzougui, Habib
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