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Interpolating sequences for bounded analytic functions
Authors:Pablo Galindo   Alejandro Miralles
Affiliation:Departamento de Análisis Matemático, Dr. Moliner, 50, Burjassot 46100, Universidad de Valencia, Spain ; Departamento de Análisis Matemático, Dr. Moliner, 50, Burjassot 46100, Universidad de Valencia, Spain
Abstract: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^infty,$ is interpolating for the space of all bounded analytic functions on $ B_E.$ The construction made yields that the interpolating functions depend linearly on the interpolated values.

Keywords:Analytic function   Banach space   interpolation
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