A probabilistic version of the Frequent Hypercyclicity Criterion

• Autores: Sophie Grivaux
• Localización: Studia mathematica, ISSN 0039-3223, Vol. 176, Nº 3, 2006, págs. 279-290
• Idioma: inglés
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• Resumen

  • For a bounded operator T on a separable infinite-dimensional Banach space X, we give a "random" criterion not involving ergodic theory which implies that T is frequently hypercyclic: there exists a vector x such that for every non-empty open subset U of X, the set of integers n such that Tnx belongs to U, has positive lower density. This