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Ansemil, José María M. and López-Salazar Codes, Jerónimo and Ponte, 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

## Abstract

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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | entire function; biorthogonal system; Schauder basis |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16770 |

Deposited On: | 19 Oct 2012 08:16 |

Last Modified: | 09 Dec 2013 17:48 |

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