Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/330026
Type: Artigo
Title: Hypercyclic Convolution Operators On Spaces Of Entire Functions
Author: Favaro
Vinicius V.; Mujica
Jorge
Abstract: A 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.
Subject: Hypercyclicity
Convolution Operators
Entire Functions
Banach Spaces
Locally Convex Spaces
Editor: Theta Foundation
Bucharest
Rights: fechado
Identifier DOI: 10.7900/jot.2015oct16.2084
Address: http://www.mathjournals.org/jot/2016-076-001/2016-076-001-008.html
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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