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Abstract:

We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach-Stone type question is addressed. © Springer-Verlag 2008.

Registro:

Documento: Artículo
Título:Spectra of weighted algebras of holomorphic functions
Autor:Carando, D.; Sevilla-Peris, P.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Matemática Aplicada and IUMPA, ETSMRE, Universidad Politécnica de Valencia, Av. Blasco Ibáñez, 21, 46010 Valencia, Spain
Año:2009
Volumen:263
Número:4
Página de inicio:887
Página de fin:902
DOI: http://dx.doi.org/10.1007/s00209-008-0444-0
Título revista:Mathematische Zeitschrift
Título revista abreviado:Math. Z.
ISSN:00255874
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00255874_v263_n4_p887_Carando

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Citas:

---------- APA ----------
Carando, D. & Sevilla-Peris, P. (2009) . Spectra of weighted algebras of holomorphic functions. Mathematische Zeitschrift, 263(4), 887-902.
http://dx.doi.org/10.1007/s00209-008-0444-0
---------- CHICAGO ----------
Carando, D., Sevilla-Peris, P. "Spectra of weighted algebras of holomorphic functions" . Mathematische Zeitschrift 263, no. 4 (2009) : 887-902.
http://dx.doi.org/10.1007/s00209-008-0444-0
---------- MLA ----------
Carando, D., Sevilla-Peris, P. "Spectra of weighted algebras of holomorphic functions" . Mathematische Zeitschrift, vol. 263, no. 4, 2009, pp. 887-902.
http://dx.doi.org/10.1007/s00209-008-0444-0
---------- VANCOUVER ----------
Carando, D., Sevilla-Peris, P. Spectra of weighted algebras of holomorphic functions. Math. Z. 2009;263(4):887-902.
http://dx.doi.org/10.1007/s00209-008-0444-0