Hypercyclic Convolution Operators On Spaces Of Entire Functions

dc.creatorFavaro
dc.creatorVinicius V.; Mujica
dc.creatorJorge
dc.date2016
dc.date2017-11-13T13:57:27Z
dc.date2017-11-13T13:57:27Z
dc.date.accessioned2018-03-29T06:10:47Z
dc.date.available2018-03-29T06:10:47Z
dc.identifierJournal Of Operator Theory. Theta Foundation, v. 76, p. 141 - 158, 2016.
dc.identifier0379-4024
dc.identifier1841-7744
dc.identifierWOS:000383902300008
dc.identifier10.7900/jot.2015oct16.2084
dc.identifierhttp://www.mathjournals.org/jot/2016-076-001/2016-076-001-008.html
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/330026
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1367051
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionA classical result of Birkhoff states that every nontrivial translation operator on the space H (C) of entire functions of one complex variable is hypercyclic. Godefroy and Shapiro extended this result considerably by proving that every nontrivial convolution operator on the space H (C-n) of entire functions of several complex variables is hypercyclic. In sharp contrast with these classical results we show that no convolution operator on the space H (C-N) of entire functions of infinitely many complex variables is hypercyclic. On the positive side we obtain hypercyclicity results for convolution operators on spaces of entire functions on important locally convex spaces.
dc.description76
dc.description1
dc.description141
dc.description158
dc.descriptionFAPESP [2014/50536-7]
dc.descriptionFAPEMIG [PPM-00086-14]
dc.descriptionCNPq [482515/2013-9, 307517/2014-4]
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.languageEnglish
dc.publisherTheta Foundation
dc.publisherBucharest
dc.relationJournal of Operator Theory
dc.rightsfechado
dc.sourceWOS
dc.subjectHypercyclicity
dc.subjectConvolution Operators
dc.subjectEntire Functions
dc.subjectBanach Spaces
dc.subjectLocally Convex Spaces
dc.titleHypercyclic Convolution Operators On Spaces Of Entire Functions
dc.typeArtículos de revistas


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