Norms of hypercyclic sequences

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 co...

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Detalles Bibliográficos
Autor: Bernal González, Luis
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41790
Acceso en línea:http://hdl.handle.net/11441/41790
Access Level:acceso abierto
Palabra clave:Hypercyclicity criterion
hypercyclic sequence
shrinkable Banach space
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spelling Norms of hypercyclic sequencesBernal González, LuisHypercyclicity criterionhypercyclic sequenceshrinkable Banach spaceIn 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.Plan Andaluz de Investigación (Junta de Andalucía)Dirección General de Enseñanza SuperiorThe European Digital Mathematics LibraryAnálisis MatemáticoJunta de AndalucíaDirección General de Enseñanza Superior. España2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41790reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMathematica Pannonica, 15 (2), 221-230.FQM-127BFM2003-03893-C02-01info:eu-repo/semantics/openAccessoai:idus.us.es:11441/417902026-06-17T12:51:07Z
dc.title.none.fl_str_mv Norms of hypercyclic sequences
title Norms of hypercyclic sequences
spellingShingle Norms of hypercyclic sequences
Bernal González, Luis
Hypercyclicity criterion
hypercyclic sequence
shrinkable Banach space
title_short Norms of hypercyclic sequences
title_full Norms of hypercyclic sequences
title_fullStr Norms of hypercyclic sequences
title_full_unstemmed Norms of hypercyclic sequences
title_sort Norms of hypercyclic sequences
dc.creator.none.fl_str_mv Bernal González, Luis
author Bernal González, Luis
author_facet Bernal González, Luis
author_role author
dc.contributor.none.fl_str_mv Análisis Matemático
Junta de Andalucía
Dirección General de Enseñanza Superior. España
dc.subject.none.fl_str_mv Hypercyclicity criterion
hypercyclic sequence
shrinkable Banach space
topic Hypercyclicity criterion
hypercyclic sequence
shrinkable Banach space
description 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.
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41790
url http://hdl.handle.net/11441/41790
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematica Pannonica, 15 (2), 221-230.
FQM-127
BFM2003-03893-C02-01
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv The European Digital Mathematics Library
publisher.none.fl_str_mv The European Digital Mathematics Library
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300724

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