Artículo

Aron, R.M.; Carando, D.; Lassalle, S.; Maestre, M. "Cluster values of holomorphic functions of bounded type" (2016) Transactions of the American Mathematical Society. 368(4):2355-2363
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Abstract:

We study the cluster value theorem for Hb(X), the Fréchet algebra of holomorphic functions bounded on bounded sets of X. We also describe the (size of) fibers of the spectrum of Hb(X). Our results are rather complete whenever X has an unconditional shrinking basis and for X = ℓ1. As a byproduct, we obtain results on the spectrum of the algebra of all uniformly continuous holomorphic functions on the ball of ℓ1. © 2015 American Mathematical Society.

Registro:

Documento: Artículo
Título:Cluster values of holomorphic functions of bounded type
Autor:Aron, R.M.; Carando, D.; Lassalle, S.; Maestre, M.
Filiación:Department of Mathematical Sciences, Kent State University, Kent, OH 44242, United States
Departamento de Matemática, Pab I, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Departamento de Matemática, Universidad de San Andrés, Vito Dumas 284, Buenos Aires, VIC B1644BID, Argentina
Departmento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, Burjasot, Valencia 6100, Spain
Palabras clave:Analytic functions of bounded type; Banach space; Cluster value; Fiber; Spectrum
Año:2016
Volumen:368
Número:4
Página de inicio:2355
Página de fin:2363
DOI: http://dx.doi.org/10.1090/tran/6407
Título revista:Transactions of the American Mathematical Society
Título revista abreviado:Trans. Am. Math. Soc.
ISSN:00029947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v368_n4_p2355_Aron

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Citas:

---------- APA ----------
Aron, R.M., Carando, D., Lassalle, S. & Maestre, M. (2016) . Cluster values of holomorphic functions of bounded type. Transactions of the American Mathematical Society, 368(4), 2355-2363.
http://dx.doi.org/10.1090/tran/6407
---------- CHICAGO ----------
Aron, R.M., Carando, D., Lassalle, S., Maestre, M. "Cluster values of holomorphic functions of bounded type" . Transactions of the American Mathematical Society 368, no. 4 (2016) : 2355-2363.
http://dx.doi.org/10.1090/tran/6407
---------- MLA ----------
Aron, R.M., Carando, D., Lassalle, S., Maestre, M. "Cluster values of holomorphic functions of bounded type" . Transactions of the American Mathematical Society, vol. 368, no. 4, 2016, pp. 2355-2363.
http://dx.doi.org/10.1090/tran/6407
---------- VANCOUVER ----------
Aron, R.M., Carando, D., Lassalle, S., Maestre, M. Cluster values of holomorphic functions of bounded type. Trans. Am. Math. Soc. 2016;368(4):2355-2363.
http://dx.doi.org/10.1090/tran/6407