Results 21 to 30 of about 393 (39)
Disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators
Open Mathematics, 2018 We characterize disjointness of supercyclic operators which map a holomorphic function to a partial sum of the Taylor expansion. In particular, we show that disjoint hypercyclicity equals disjoint supercyclicity for families of Taylor-type operators ...
Ma Yingbin, Wang Cui
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Linear dynamics of semigroups generated by differential operators
Open Mathematics, 2017 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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Dynamics of multivalued linear operators
Open Mathematics, 2017 We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan +3 more
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J-class weighted shifts on the space of bounded sequences of complex numbers
, 2008 We provide a characterization of $J$-class and $J^{mix}$-class unilateral weighted shifts on $l^{\infty}(\mathbb{N})$ in terms of their weight sequences. In contrast to the previously mentioned result we show that a bilateral weighted shift on $l^{\infty}
Costakis, George, Manoussos, Antonios
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J-Class Abelian Semigroups of Matrices on C^n and Hypercyclicity
, 2011 We give a characterization of hypercyclic finitely generated abelian semigroups of matrices on C^n using the extended limit sets (the J-sets). Moreover we construct for any n\geq 2 an abelian semigroup G of GL(n;C) generated by n + 1 diagonal matrices ...
AB Nasseri +6 more
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Commutants of the Dunkl Operators in C(R) [PDF]
, 2006 2000 Mathematics Subject Classification: 44A35; 42A75; 47A16, 47L10, 47L80The Dunkl operators.* Supported by the Tunisian Research Foundation under 04/UR/15 ...
Dimovski, Ivan +2 more
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Multiplicative structures of hypercyclic functions for convolution operators
, 2017 In this note, it is proved the existence of an infinitely generated multiplicative group consisting of entire functions that are, except for the constant function 1, hypercyclic with respect to the convolution operator associated to a given entire ...
Bernal-González, Luis +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng +2 more
wiley +1 more source
Exponential type of hypercyclic entire functions [PDF]
, 2002 In this paper the exponential type of hypercyclic entire functions with respect to a sequence (Φn(D)) of differential operators is considered, where every Φn is an entire function of exponential type.
Bernal González, Luis +1 more
core
Hypercyclic Toeplitz operators
, 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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