Opened Access Norms of hypercyclic sequences
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Author: Bernal González, Luis
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2004
Published in: Mathematica Pannonica, 15 (2), 221-230.
Document type: Article
Abstract: In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a hereditary hypercyclic subsequence (Tnk) such that (Tn) itself does not satisfy the so-called Hypercyclicity Criterion and such that, in addition, the norms of the Tn's are controlled in a certain natural sense.
Cite: Bernal González, L. (2004). Norms of hypercyclic sequences. Mathematica Pannonica, 15 (2), 221-230.
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