Results 81 to 90 of about 1,093 (132)
Notes on the Hypercyclic Operator
Journal of Mathematical Extension, 2008 In this paper by using a nice criterion, we show that the perturbation of identity operators by some multiples of the standard backward shift is hypercyclic. This gives a new proof for Salas Theorem in ( [10 ], Theorem 3.3).
H. Rezaei
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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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GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS
Вестник Донского государственного технического университета, 2018 Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
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GELFOND-LEONTYEV GENERAL DIFFERETIATION OPERATORS AND BRENKE POLYNOMIALS
Advanced Engineering Research, 2010 Natural connection between Gelfond-Leontyev generalized derivation operators (GDO) and Brenke polynomials is established. Operator extension criterion commuting with GDO up to continuous H(G) space is derived.
Alexander V. BRATISHCHEV
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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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Dual disjoint hypercyclic operators
Journal of Mathematical Analysis and Applications, 2011 A finite family of operators \(T_1,T_2,\dots ,T_m\), \(m\geq 2\), on a Fréchet space \(E\) is disjointly hypercyclic if there are \(x\in E\) such that \(\{ ( T_1^nx, \dots ,T_m^nx) \mid n\geq 0\}\) is dense in \(E^m\). The author shows that for every separable infinite-dimensional Banach space \(E\), and for each \(m\geq 2\), there is a family of ...
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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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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity
Ergodic Theory and Dynamical SystemsAbstractWe introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity. This notion is useful for the study of the dynamical properties of direct sums of operators; in particular, a basic observation is that the direct sum of a hereditarily frequently hypercyclic ...
FRÉDÉRIC BAYART +3 more
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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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Extending families of disjoint hypercyclic operators
Journal of Mathematical Analysis and ApplicationsIn the present note, we solve two open questions posed by Salas in [H. Salas, The strong disjoint blow-up/collapse property, J. Funct. Spaces Appl., 2013, Article ID 146517, 6 pages] about disjoint hypercyclic operators. First, we show that given any family $T_1, \dots, T_N$ of disjoint hypercyclic operators, one can always select an operator $T$ such ...
Özgür Martin, Rebecca Sanders
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