Results 81 to 90 of about 491,446 (159)
G- Cyclicity And Somewhere Dense Orbit
مجلة بغداد للعلوم, 2010 let H be an infinite – dimensional separable complex Hilbert space, and S be a multiplication semigroup of with 1. An operator T is called G-cyclic over S if there is a non-zero vector xÎ H such that {aTn x½aÎS, n ≥0} is norm-dense in H.
Zeana Zaki Jamil
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Hypercyclic subspaces for Frechet space operators [PDF]
, 2006 A continuous linear operator T:X→X is hypercyclic if there is an x∈X such that the orbit {Tnx} is dense, and such a vector x is said to be hypercyclic for T.
Petersson, Henrik, Petersson, Henrik,
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Hypercyclic algebras for convolution and composition operators [PDF]
, 2018 [EN] We provide an alternative proof to those by Shkarin and by Bayart and Matheron that the operator D of complex differentiation supports a hypercyclic algebra on the space of entire functions.
D. Papathanasiou +5 more
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Invertible Subspace-Hypercyclic Operators
Journal of Mathematical Extension, 2015 A bounded linear operator on a Banach space X is called subspace-hypercyclic for a subspace M if Orb(T, x) \ M is dense in M for a vector x 2 M. In this paper we give conditions under which an operator is M-hypercyclic.
S. Talebi, B. Yousefi, M. Asadipour
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Supercyclicity and Hypercyclicity of an Isometry Plus a Nilpotent
Abstract and Applied Analysis, 2011 Suppose that X is a separable normed space and the operators A and Q are bounded on X. In this paper, it is shown that if AQ=QA, A is an isometry, and Q is a nilpotent then the operator A+Q is neither supercyclic nor weakly hypercyclic. Moreover, if the
S. Yarmahmoodi +2 more
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On the spectrum of frequently hypercyclic operators [PDF]
, 2009 A bounded linear operator T on a Banach space X is called frequently hypercyclic if there exists x ∈ X such that the lower density of the set { n ∈ N : Tnx ∈ U } is positive for any non-empty open subset U of X.
Shkarin, Stanislav
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Dense range perturbations of hypercyclic operators
, 2002 We show that if (Tn) is a hypercyclic sequence of linear operators on a locally convex space and (Sn) is a sequence of linear operators such that the image of each orbit under every linear functional is non-dense then the sequence (Tn+Sn) has dense range.
Bernal González, Luis
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Frequently hypercyclic operators and vectors
, 2007 peer reviewedWe study frequently hypercyclic operators, a natural new concept in hypercyclicity that was recently introduced by F. Bayart and S. Grivaux.
Bonilla, A., Grosse-Erdmann, Karl
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Weyl's theorem and hypercyclic/supercyclic operators [PDF]
, 2007 Necessary and sufficient conditions for hypercyclic/supercyclic Banach space operators T to satisfy σa(T)∖σwa(T)=π00a(T) are ...
Duggal, B.P.
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On the Epsilon Hypercyclicity of a Pair of Operators
Journal of Mathematical Extension, 2011 In this paper we prove that if a pair of operators is - hypercyclic for all > 0, then it is topologically ...
B. Yousefi∗, K. Jahedi
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