Biblioteca de la Universidad Complutense de Madrid

Entire functions uniformly bounded on balls of a Banach space

Impacto

Ansemil, José María M. y López-Salazar Codes, Jerónimo y Ponte, Socorro (2011) Entire functions uniformly bounded on balls of a Banach space. Studia Mathematica, 204 (2). pp. 187-194. ISSN 0039-3223

URL Oficial: http://journals.impan.gov.pl/cgi-bin/sm/pdf?sm204-2-05



Resumen

Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B(1) subset of X and unbounded on another given ball B(2) subset of X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.


Tipo de documento:Artículo
Palabras clave:entire function; biorthogonal system; Schauder basis
Materias:Ciencias > Matemáticas > Análisis funcional y teoría de operadores
Código ID:16770
Referencias:

J. M. Ansemil, R. M. Aron and S. Ponte, Representation of spaces of entire functions on Banach spaces, Publ. Res. Inst. Math. Sci. 45 (2009), 383–391.

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S. Dineen, Complex Analysis on Infinite Dimensional Spaces, Springer Monogr. Math., Springer, London, 1999.

C. O. Kiselman, On the radius of convergence of an entire function in a normed space, Ann. Polon. Math. 33 (1976), 39–55.

J. López-Salazar, Vector spaces of entire functions of unbounded type, Proc. Amer. Math. Soc. 139 (2011), 1347–1360.

I. Singer, Bases in Banach Spaces I, Springer, Berlin, 1970.

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Última Modificación:09 Dic 2013 17:48

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