HYPERCYCLIC CONVOLUTION OPERATORS ON SPACES OF ENTIRE FUNCTIONS

Autor(es)

Favaro, Vinicius V. ; Mujica, Jorge

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF OPERATOR THEORY; v. 76, n. 1, p. 141-158, SUM 2016.
• Citações Web of Science: 4

Resumo

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. (AU)

• Processo FAPESP: 14/50536-7 - Espaços de funções holomorfas definidas sobre Espaços de Banach e o problema de Michael
• Beneficiário: Vinícius Vieira Fávaro
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado