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Abstract:

A result of Godefroy and Shapiro states that the convolution operators on the space of entire functions on Cn, which are not multiples of identity, are hypercyclic. Analogues of this result have appeared for some spaces of holomorphic functions on a Banach space. In this work, we define the space holomorphic functions associated to a sequence of spaces of polynomials and determine conditions on this sequence that assure hypercyclicity of convolution operators. Some known results come out as particular cases of this setting. We also consider holomorphic functions associated to minimal ideals of polynomials and to polynomials of the Schatten-von Neumann class. © 2007 Elsevier Inc. All rights reserved.

Registro:

Documento: Artículo
Título:Hypercyclic convolution operators on Fréchet spaces of analytic functions
Autor:Carando, D.; Dimant, V.; Muro, S.
Filiación:Departamento de Matemática, Pab I, Facultad de Cs. Exactas y Naturales, 1428 Buenos Aires, Argentina
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, Vito Dumas 284, Argentina
Palabras clave:Convolution operators; Hypercyclic operators; Spaces of holomorphic functions
Año:2007
Volumen:336
Número:2
Página de inicio:1324
Página de fin:1340
DOI: http://dx.doi.org/10.1016/j.jmaa.2007.03.055
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v336_n2_p1324_Carando.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v336_n2_p1324_Carando

Referencias:

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Citas:

---------- APA ----------
Carando, D., Dimant, V. & Muro, S. (2007) . Hypercyclic convolution operators on Fréchet spaces of analytic functions. Journal of Mathematical Analysis and Applications, 336(2), 1324-1340.
http://dx.doi.org/10.1016/j.jmaa.2007.03.055
---------- CHICAGO ----------
Carando, D., Dimant, V., Muro, S. "Hypercyclic convolution operators on Fréchet spaces of analytic functions" . Journal of Mathematical Analysis and Applications 336, no. 2 (2007) : 1324-1340.
http://dx.doi.org/10.1016/j.jmaa.2007.03.055
---------- MLA ----------
Carando, D., Dimant, V., Muro, S. "Hypercyclic convolution operators on Fréchet spaces of analytic functions" . Journal of Mathematical Analysis and Applications, vol. 336, no. 2, 2007, pp. 1324-1340.
http://dx.doi.org/10.1016/j.jmaa.2007.03.055
---------- VANCOUVER ----------
Carando, D., Dimant, V., Muro, S. Hypercyclic convolution operators on Fréchet spaces of analytic functions. J. Math. Anal. Appl. 2007;336(2):1324-1340.
http://dx.doi.org/10.1016/j.jmaa.2007.03.055