Entire functions uniformly bounded on balls of a Banach space

• Autorzy: José M. Ansemil , Jerónimo López-Salazar , Socorro Ponte
• Języki publikacji: EN

Abstrakty

EN

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 B₁ ⊂ X and unbounded on another given ball B₂ ⊂ 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.

Kategorie tematyczne

• 46B99: None of the above, but in this section
• 46G20: Infinite-dimensional holomorphy
• 46E50: Spaces of differentiable or holomorphic functions on infinite-dimensional spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 204
• Numer: 2
• Strony: 187-194

Daty

wydano

2011

Twórcy

autor

José M. Ansemil

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

autor

Jerónimo López-Salazar

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

autor

Socorro Ponte

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040 Madrid, Spain

Identyfikatory

DOI

10.4064/sm204-2-5