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SOME RESULTS ON HYPERCYCLICITY OF TUPLE OF OPERATORS
, 2015 In this paper we extend some results of hypercyclicity from a single operator to a tuple of commuting operators. In particular we extend theorem of Nathan S.
Tajmouati, Abdelaziz +1 more
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Journal of Mathematical Analysis and Applications, 2011 A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set.
Rubén Alejandro Martínez Avendaño
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Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces
Journal of Functional Analysis, 2007 Let \(X\) be a topological vector space over \(\mathbb{R}\) or \(\mathbb{C}\). A (continuous, linear) operator \(T:X \to X\) is said to be hypercyclic if there exists some \(x \in X\) whose \(T\)-orbit \(\{T^n x: n\in{\mathbb{N}}\}\) is dense in \(X\). In [J.~Funct.~Anal.\ 99, 179--190 (1991; Zbl 0758.47016)], \textit{D.\,Herrero} posed the problem of ...
E Matheron
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On the evolution of hypercycles
Mathematical Biosciences, 2018In this study, we examine the process of fitness landscape evolution of the hypercycle system. We assume that the parameters that define the fitness landscape change in order to maximize the mean fitness of the system. The environmental influence is expressed as resource limitation: we formalize it as a restriction on the fitness matrix coefficients ...
Alexander S. Bratus +2 more
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EVERY WEAKLY SEQUENTIALLY HYPERCYCLIC SHIFT IS NORM HYPERCYCLIC
Mathematical Proceedings of the Royal Irish Academy, 2005The author show that a bilateral weighted shift on \(\ell^p(\mathbb Z)\) is weakly sequentially supercyclic if and only if it is norm hypercyclic. In particular, it also follows that they are weakly sequentially hypercyclic if and only if they are hypercyclic.
Bès, Juan +2 more
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A hypercyclicity criterion with applications [PDF]
Journal of Mathematical Analysis and Applications, 2007 A continuous linear operator T:X→X on a topological vector space X is called hypercyclic if there is x∈X such that the orbit {Tnx}n⩾0 is dense in X. We establish a criterion for hypercyclicity, and study some applications.
Henrik Petersson
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Journal of Theoretical Biology, 1988
Demonstration du caractere errone d'un modele de croissance de la paroi cellulaire des ...
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Demonstration du caractere errone d'un modele de croissance de la paroi cellulaire des ...
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Origins of life and evolution of the biosphere, 1999
Several hypotheses on the origin of codon assignments imply that the present protein synthesizing machinery was already in place when the assignments were made. These are examined by computer modeling. The results do not suggest that assignments were optimized for resistance to reading and mutation errors, nor that the assignments are random.
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Several hypotheses on the origin of codon assignments imply that the present protein synthesizing machinery was already in place when the assignments were made. These are examined by computer modeling. The results do not suggest that assignments were optimized for resistance to reading and mutation errors, nor that the assignments are random.
openaire +2 more sources