Results 101 to 110 of about 3,099 (194)
Recurrency on the Space of Hilbert-Schmidt Operators
مجلة بغداد للعلومIn this paper, it is proved that if a C0-semigroup is chaotic, hypermixing or supermixing, then the related left multiplication C0-semigroup on the space of Hilbert-Schmidt operators is recurrent if and only if it is hypercyclic. Also, it is stated that
Mansooreh Moosapoor
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The Specification Property for $C_0$-Semigroups
, 2018 We study one of the strongest versions of chaos for continuous dynamical systems, namely the specification property. We extend the definition of specification property for operators on a Banach space to strongly continuous one-parameter semigroups of ...
Bartoll, S. +3 more
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Frequently hypercyclic abstract higher-order differential equations [PDF]
, 2018 In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
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Perturbations of hypercyclic vectors
Journal of Mathematical Analysis and Applications, 2002 A bounded linear operator \(T\) on a separable Banach space \(\mathcal B\) is said to be hypercyclic if there is \(x \in \mathcal B\), also called hypercyclic, such that the elements in the orbit \(\{T^ n x\}_{n\geq 0}\) are dense in \(\mathcal B\). Hypercyclicity is one of the strongest forms of cyclicity. \textit{S. Rolewicz} [Stud. Math. 32, 17--22 (
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Common hypercyclic vectors for the unitary orbit of a hypercyclic operator
Journal of Mathematical Analysis and Applications, 2012 AbstractFor a separable, infinite dimensional Hilbert space, it was recently shown by the authors that the similarity orbit of a hypercyclic operator contains a path of operators which is dense in the operator algebra with the strong operator topology, and yet the set of common hypercyclic vectors for the entire path is a dense Gδ set.
Chan, Kit C., Sanders, Rebecca
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Some recent work in Frechet geometry
, 2011 Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be ...
Dodson, C. T. J.
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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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Mean Li-Yorke chaos in Banach spaces
, 2018 We investigate the notion of mean Li-Yorke chaos for operators on Banach spaces. We show that it differs from the notion of distributional chaos of type 2, contrary to what happens in the context of topological dynamics on compact metric spaces. We prove
Bernardes Jr., N. C. +2 more
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Proceedings of the American Mathematical Society, 2007 A sequence T = (Tn) of operators Tn:X → X is said to be hypercyclic if there exists a vector x ω X, called hypercyclic for T, such that {Tnx:n ≥ 0} is dense. A hypercyclic subspace for T is a closed infinitedimensional subspace of, except for zero, hypercyclic vectors. We prove that if T is a sequence of operators on.
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