Results 1 to 10 of about 893 (111)
Common hypercyclic vectors for families of operators [PDF]
Journal of Functional Analysis, 2008 We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino.
Gallardo-Gutierrez, E.A. +1 more
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Hypercyclic operators on topological vector spaces [PDF]
Journal of the London Mathematical Society, 2010 Bonet, Frerick, Peris and Wengenroth constructed a hypercyclic operator on the locally convex direct sum of countably many copies of the Banach space $\ell_1$. We extend this result.
Shkarin, Stanislav
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Fast orbital convergence reveals more hypercyclic vectors
Applied General TopologyLet X be an infinite dimensional separable Banach space, T : X → X be a hypercyclic operator, and x ∈ X be a (frequently) hypercyclic vector of T. We show that if the terms from the T-orbit of x converge to a vector y sufficiently fast, then y is also a ...
T. K. Subrahmonian Moothathu
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Algebras of frequently hypercyclic vectors [PDF]
Mathematische Nachrichten, 2020 AbstractWe show that the multiples of the backward shift operator on the spaces , , or c0, when endowed with coordinatewise multiplication, do not possess frequently hypercyclic algebras. More generally, we characterize the existence of algebras of ‐hypercyclic vectors for these operators.
Javier Falcó +1 more
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On linear chaos in function spaces
Demonstratio Mathematica, 2022 We show that, in Lp(0,∞){L}_{p}\left(0,\infty ) (1 ...
Jimenez John M., Markin Marat V.
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Existence of common and upper frequently hypercyclic subspaces [PDF]
, 2014 We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
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Frequently hypercyclic bilateral shifts [PDF]
, 2017 It is not known if the inverse of a frequently hypercyclic bilateral weighted shift on $c_0(\mathbb{Z})$ is again frequently hypercyclic. We show that the corresponding problem for upper frequent hypercyclicity has a positive answer.
Grosse-Erdmann, Karl-G.
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Frequently hypercyclic semigroups [PDF]
, 2010 We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral ...
Mangino, E. M., Peris, A.
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Linear Structure of Hypercyclic Vectors
Journal of Functional Analysis, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
León-Saavedra, Fernando +1 more
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Frequently hypercyclic random vectors
Proceedings of the American Mathematical Society, 2022 We show that, under suitable conditions, an operator acting like a shift on some sequence space has a frequently hypercyclic random vector whose distribution is strongly mixing for the operator. This result will be applied to chaotic weighted shifts.
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