Interpolating sequences for H∞(BH)

We prove that under the extended Carleson’s condition, a sequence (xn) ⊂ BH is linear interpolating for H∞(BH) 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.The author is supported by Project MTM 2011-22457 (Ministerio de Economía y Competitividad, Spain) and Project P1-1B2014-35 (Universitat Jaume I, Spain