Results 31 to 40 of about 3,099 (194)
$q$-Frequent hypercyclicity in spaces of operators [PDF]
, 2016 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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Journal of Mathematical Analysis and Applications, 2011 15 ...
Rubén A. Martínez Avendaño +1 more
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Multiples of hypercyclic operators [PDF]
Proceedings of the American Mathematical Society, 2008 We give a negative answer to a question of Prăjitură by showing that there exists an invertible bilateral weighted shift T T on ℓ 2 ( Z ) \ell _2(\mathbb {Z}) such that T T and 3 T 3T are ...
Badea, Catalin +2 more
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The Necessary Condition of Hypercyclicity of Truncated Toeplitz Operator
Journal of Physics: Conference Series, 2021 We study hypercyclicity of truncated Toeplitz operators in the model space H2(D) θ θH2(Ө) where θ is inner function and H2(D) is Hardy space. In this paper, the necessary condition of hypercyclicity of truncated Toeplitz operator is given.
Ali A. Shukur
semanticscholar +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 ...
Peter F. Stadler +3 more
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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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Hypercyclic operators are subspace hypercyclic
Journal of Mathematical Analysis and Applications, 2016 Abstract In this short note, we prove that for a dense set A ⊂ X ( X is a Banach space) there is a non-trivial closed subspace M ⊂ X such that A ∩ M is dense in M . We use this result to answer a question posed in Madore and Martinez-Avendano (2011) [9] .
Nareen Bamerni +3 more
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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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On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
Mathematics, 2019 We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain ...
Marat V. Markin, Edward S. Sichel
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