6533b824fe1ef96bd1280832

RESEARCH PRODUCT

Interpolating sequences for bounded analytic functions

Pablo GalindoAlejandro Miralles

subject

SequenceApplied MathematicsGeneral MathematicsBounded functionMathematical analysisBanach spaceSpace (mathematics)Analytic functionMathematics

description

. We prove that any sequence in the open ball of a complex Banach space E, even in that of E**, whose norms are an interpolating sequence for H∞, is interpolating for the space of all bounded analytic functions on BE-The construction made yields that the interpolating functions depend linearly on the interpolated values.

https://doi.org/10.1090/s0002-9939-07-08863-6