Martínez Ansemil, José María and López-Salazar Codes, Jerónimo and Ponte Miramontes, María del Socorro (2011) Entire functions uniformly bounded on balls of a Banach space. Studia Mathematica, 204 (2). pp. 187-194. ISSN 0039-3223
Official URL: http://journals.impan.gov.pl/cgi-bin/sm/pdf?sm204-2-05
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.
|Uncontrolled Keywords:||entire function; biorthogonal system; Schauder basis|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
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|Deposited On:||19 Oct 2012 10:16|
|Last Modified:||19 Oct 2012 10:16|
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