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Abstract:

We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally m-convex Fréchet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem. © 2011 Elsevier Inc.

Registro:

Documento: Artículo
Título:On algebras of holomorphic functions of a given type
Autor:Muro, S.
Filiación:Departamento de Matemática - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
CONICET, Argentina
Palabras clave:Fréchet algebras; Holomorphy types; Polynomial ideals; Riemann domains
Año:2012
Volumen:389
Número:2
Página de inicio:792
Página de fin:811
DOI: http://dx.doi.org/10.1016/j.jmaa.2011.12.022
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_v389_n2_p792_Muro.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v389_n2_p792_Muro

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Citas:

---------- APA ----------
(2012) . On algebras of holomorphic functions of a given type. Journal of Mathematical Analysis and Applications, 389(2), 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022
---------- CHICAGO ----------
Muro, S. "On algebras of holomorphic functions of a given type" . Journal of Mathematical Analysis and Applications 389, no. 2 (2012) : 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022
---------- MLA ----------
Muro, S. "On algebras of holomorphic functions of a given type" . Journal of Mathematical Analysis and Applications, vol. 389, no. 2, 2012, pp. 792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022
---------- VANCOUVER ----------
Muro, S. On algebras of holomorphic functions of a given type. J. Math. Anal. Appl. 2012;389(2):792-811.
http://dx.doi.org/10.1016/j.jmaa.2011.12.022