Results 21 to 30 of about 990 (118)
Hypercyclic operators on spaces of block-symmetric analytic functions
The paper contains proof of the hypercyclicity of ``symmetrictranslation'' on the algebras of block-symmetric analyticfunctions of bounded type on an isomorphic copy of $ell_1$
V. V. Kravtsiv +2 more
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Frequently hypercyclic semigroups [PDF]
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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$q$-Frequently hypercyclic operators [PDF]
13 pages, to ...
Gupta, Manjul, Mundayadan, Aneesh
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Existence of common and upper frequently hypercyclic subspaces [PDF]
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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Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
We study the compactness and the hypercyclicity of Toeplitz operators Tϕ¯,b{T_{\bar \varphi ,b}} with co-analytic and bounded symbols on de Branges-Rovnyak spaces ℋ(b).
Alhajj Rim
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Hypercyclic operators are subspace hypercyclic
A bounded operator \(T\) on a separable Banach space \(X\) is called subspace hypercyclic for a subspace \(M\) of \(X\) if there is a vector \(x \in X\) such that the intersection of its orbit and \(M\) is dense in \(M\). The aim of this paper is to solve a question of \textit{B. F. Madore} and \textit{R. A. Martínez-Avendaño} [J. Math. Anal. Appl. 373,
Nareen Bamerni +2 more
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Simultaneous universality [PDF]
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector.
Bernal González, Luis, Jung, Andreas
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$q$-Frequent hypercyclicity in spaces of operators [PDF]
We provide conditions for a linear map of the form $C_{R,T}(S)=RST$ to be $q$-frequently hypercyclic on algebras of operators on separable Banach spaces.
Gupta, Manjul, Mundayadan, Aneesh
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Linear dynamics of semigroups generated by differential operators
During the last years, several notions have been introduced for describing the dynamical behavior of linear operators on infinite-dimensional spaces, such as hypercyclicity, chaos in the sense of Devaney, chaos in the sense of Li-Yorke, subchaos, mixing ...
Alberto Conejero J. +3 more
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CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES
In this paper, we study hypercyclicity on solid Banach function spaces, and give the characterization for weighted translation operators to be hypercyclic in terms of weight and aperiodic functions.
C-C. Chen, S. M. Tabatabaie
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