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|Title:||Hypercyclic convolution operators on spaces of entire functions|
|Author:||Favaro, Vinicius V.|
|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:||Espaços de Banach|
|Editor:||Academia Romana/Institutul de Matematica|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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