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Listar por palabra clave "Frequently hypercyclic operators"

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Listar por palabra clave "Frequently hypercyclic operators"

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    Distributional chaos for linear operators 
    Bernardes, Nilson C.; Bonilla, Antonio; Müller, Vladimír; Peris Manguillot, Alfredo (Elsevier, 2013-11)
    We characterize distributional chaos for linear operators on Fréchet spaces in terms of a computable condition (DCC), and also as the existence of distributionally irregular vectors. A sufficient condition for the existence ...
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    Frequent hypercyclicity, chaos, and unconditional Schauder decompositions 
    De la Rosa Penilla, Manuel; Frerick, Leonhard; Grivaux, Sophie; Peris Manguillot, Alfredo (Springer Verlag (Germany), 2012-08)
    We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional Schauder decomposition, X supports an operator T which is chaotic and frequently hypercyclic. This result is extended to ...
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    Frequently recurrent operators 
    Bonilla, Antonio; Grosse-Erdmann, Karl G.; López-Martínez, Antoni; Peris Manguillot, Alfredo (Elsevier, 2022-12-15)
    [EN] Motivated by a recent investigation of Costakis et al. on the notion of recurrence in linear dynamics, we study various stronger forms of recurrence for linear operators, in particular that of frequent recurrence. We ...
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    Operators with the specification property 
    Bartoll Arnau, Salud; Martínez Jiménez, Félix; Peris Manguillot, Alfredo (Elsevier, 2016)
    [EN] We study a version of the specification property for linear dynamics. Operators having the specification property are investigated, and relationships with other well known dynamical notions such as mixing, Devaney ...