Results 91 to 100 of about 893 (111)

Common Hypercyclic Vectors and the Hypercyclicity Criterion

Integral Equations and Operator Theory, 2009
An operator on a separable, infinite dimensional Banach space satisfies the Hypercyclicity Criterion if and only if the associated left multiplication operator is hypercyclic; see [14], [16], [29]. By examining paths of operators where each operator along the path satisfies the criterion, we provide necessary and sufficient conditions for a path of ...
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Common hypercyclic vectors for unilateral weighted shifts on ℓ2

Journal of Operator Theory, 2021
Each w∈ℓ∞ defines a bacwards weighted shift Bw:ℓ2→ℓ2. A vector x∈ℓ2 is \textit{hypercyclic} for Bw if the set of forward iterates of x is dense in ℓ2. For each such w, the set HC(w) consisting of all vectors hypercyclic for Bw is Gδ. The set of \textit{common hypercyclic vectors} for a set W⊆ℓ∞ is the set HC∗(W)=⋂w∈WHC(w).
Konstantinos Beros, Paul B. Larson
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Rank One Perturbation of Unitary Operators with Full Measure of Hypercyclic Vectors

Bulletin of the Malaysian Mathematical Sciences Society, 2022
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Liu, Xin, Chen, Zhijing
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On the Existence of Infinite-Dimensional Closed Subspaces of Frequently Hypercyclic Vectors for $T_f$

Real Analysis Exchange, 2023
In the paper under review, the author studies the spaceability of the set of frequently hypercyclic vectors for dissipative composition operators of bounded distortion on \(L^p\), \(1\leq p
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Small sets and hypercyclic vectors

2008
The authors study the smallness of the set of non-hyperbolic vectors for weighted backward shifts on \(c_0(\mathbb N)\) or \(\ell ^p(\mathbb N)\) \((1\leq ...
Bayart, Frédéric, Matheron, Etienne, Moreau, Pierre   +2 more
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Semi-Fredholm Theory: Hypercyclic and Supercyclic Subspaces

Proceedings of the London Mathematical Society, 2000
Manuel González, Fernando León-Saavedra   +1 more
exaly  

Common hypercyclic vectors

2009
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Remarks on common hypercyclic vectors

Journal of Functional Analysis, 2010
Stanislav Shkarin
exaly  

On the existence of subspace-hypercyclic operators and a new criteria for subspace-hypercyclicity

Advances in Operator Theory, 2020
Andre Quintal Augusto
exaly  

Rotations of Hypercyclic and Supercyclic Operators

Integral Equations and Operator Theory, 2004
Fernando León-Saavedra
exaly