Interpolating sequences for $H^{\infty}(B_H)$

Published 6 Oct 2015 in math.FA | (1510.01529v1)

Abstract: We prove that under the extended Carleson's condition, a sequence $(x_n) \subset B_H$ is linear interpolating for $H^{{\infty}(B_H)$} for an infinite dimensional Hilbert space H. In particular, we construct the interpolating functions for each sequence and find a bound for the constant of interpolation.

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Alejandro Miralles

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