Results 11 to 20 of about 131 (122)
Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts. In particular, we show that abstract differential operators and dual operators to operators of multiplication in graded Hilbert spaces are similar to backward weighted shift operators.
Andriy Zagorodnyuk +2 more
wiley +1 more source
Error propagation in the hypercycle [PDF]
Physical Review E, 2000 We study analytically the steady-state regime of a network of n error-prone self-replicating templates forming an asymmetric hypercycle and its error tail. We show that the existence of a master template with a higher non-catalyzed self-replicative productivity, a, than the error tail ensures the stability of chains in which ...
Campos, P. R. A. +2 more
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Hypercyclic operators on spaces of block-symmetric analytic functions
Karpatsʹkì Matematičnì Publìkacìï, 2013 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
doaj +3 more sources
Hypercyclic operators are subspace hypercyclic
Journal of Mathematical Analysis and Applications, 2016 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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Compactness and hypercyclicity of co-analytic Toeplitz operators on de Branges-Rovnyak spaces
Concrete Operators, 2020 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 Toeplitz Operators [PDF]
Results in Mathematics, 2016 Minor corrections.
Anton Baranov, Andrei Lishanskii
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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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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
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CHAOTIC AND HYPERCYCLIC OPERATORS ON SOLID BANACH FUNCTION SPACES
Проблемы анализа, 2020 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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Topologically mixing extensions of endomorphisms on Polish groups
Applied General Topology, 2022 In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing.
John Burke, Leonardo Pinheiro
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