Artículo

Turco, P. "A -compact mappings" (2016) Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas. 110(2):863-880
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Abstract:

For a fixed Banach operator ideal A, we use the notion of A-compact sets of Carl and Stephani to study A-compact polynomials and A-compact holomorphic mappings. Namely, those mappings g: X→ Y such that every x∈ X has a neighborhood V x such that g(V x ) is relatively A-compact. We show that the behavior of A-compact polynomials is determined by its behavior in any neighborhood of any point. We transfer some known properties of A-compact operators to A-compact polynomials. In order to study A-compact holomorphic functions, we appeal to the A-compact radius of convergence which allows us to characterize the functions in this class. Under certain hypothesis on the ideal A, we give examples showing that our characterization is sharp. © 2015, Springer-Verlag Italia.

Registro:

Documento: Artículo
Título:A -compact mappings
Autor:Turco, P.
Filiación:IMAS - CONICET - Pab I, Facultad de Cs. Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:A-compact polynomials; A-compact sets; Holomorphic mappings
Año:2016
Volumen:110
Número:2
Página de inicio:863
Página de fin:880
DOI: http://dx.doi.org/10.1007/s13398-015-0269-8
Título revista:Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas
Título revista abreviado:Revista Real Academia Ciencias Exactas, Fisicas Naturales - Serie A: Matematicas
ISSN:15787303
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15787303_v110_n2_p863_Turco

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Citas:

---------- APA ----------
(2016) . A -compact mappings. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 110(2), 863-880.
http://dx.doi.org/10.1007/s13398-015-0269-8
---------- CHICAGO ----------
Turco, P. "A -compact mappings" . Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 110, no. 2 (2016) : 863-880.
http://dx.doi.org/10.1007/s13398-015-0269-8
---------- MLA ----------
Turco, P. "A -compact mappings" . Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, vol. 110, no. 2, 2016, pp. 863-880.
http://dx.doi.org/10.1007/s13398-015-0269-8
---------- VANCOUVER ----------
Turco, P. A -compact mappings. Revista Real Academia Ciencias Exactas, Fisicas Naturales - Serie A: Matematicas. 2016;110(2):863-880.
http://dx.doi.org/10.1007/s13398-015-0269-8