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Interpolating sequences for $H^{\infty}(B_H)$ (1510.01529v1)
Published 6 Oct 2015 in math.FA
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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