English

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

Functional Analysis 2015-10-07 v1

Abstract

We prove that under the extended Carleson's condition, a sequence (xn)BH(x_n) \subset B_H is linear interpolating for H(BH)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.

Keywords

Cite

@article{arxiv.1510.01529,
  title  = {Interpolating sequences for $H^{\infty}(B_H)$},
  author = {Alejandro Miralles},
  journal= {arXiv preprint arXiv:1510.01529},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-06-22T11:13:45.520Z