Results 11 to 20 of about 3,099 (194)
Frequently hypercyclic semigroups [PDF]
Studia Mathematica, 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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An Extension of Hypercyclicity for N-Linear Operators
Abstract and Applied Analysis, 2014 Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity [PDF]
Ergodic Theory and Dynamical SystemsWe introduce and study the notion of hereditary frequent hypercyclicity, which is a reinforcement of the well-known concept of frequent hypercyclicity.
F. Bayart +3 more
semanticscholar +4 more sources
Hypercyclic Toeplitz operators [PDF]
Results in Mathematics, 2016 We study hypercyclicity of the Toeplitz operators in the Hardy space $H^2(\mathbb{D})$ with symbols of the form $p(\bar{z}) +\phi(z)$, where $p$ is a polynomial and $\phi \in H^\infty(\mathbb{D})$.
Baranov, Anton, Lishanskii, Andrei
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Journal of Applied MathematicsThis article extends Alfredo Peris’s work on chaos in set-valued dynamics by providing new characterizations and applications of transitivity and mixing properties.
Illych Alvarez
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A hypercyclic operator whose adjoint is also hypercyclic [PDF]
Proceedings of the American Mathematical Society, 1991 An operator T T acting on a Hilbert space H H is hypercyclic if, for some vector x x in H H , the orbit { T n x : n ≥ 0 } \{ {T^n}x:n \geq 0\} is dense in H
Héctor N. Salas
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Frequently hypercyclic operators [PDF]
Transactions of the American Mathematical Society, 2006 We investigate the subject of linear dynamics by studying the notion of frequent hypercyclicity for bounded operators T T on separable complex F \mathcal {F} -spaces: T T is frequently hypercyclic if there exists a vector x x such that for every nonempty open subset
Frédéric Bayart, Sophie Grivaux
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Common frequent hypercyclicity [PDF]
Journal of Functional Analysis, 2020 We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criterion and of a recent criterion due to Grivaux, Matheron and Menet where periodic points play the central role.
S. Charpentier +3 more
semanticscholar +4 more sources
Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou +2 more
wiley +1 more source
On the Recurrent C0‐Semigroups, Their Existence, and Some Criteria
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, recurrent C0‐semigroups are introduced and investigated. It is proved that, despite hypercyclic C0‐semigroups, recurrent C0‐semigroups can be found on finite‐dimensional Banach spaces. Some criteria are stated for recurrence, which is based on open sets, neighborhoods of zero, and special eigenvectors.
Mansooreh Moosapoor, Tuncer Acar
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