%0 Journal Article
%T Thin sequences and the Gram matrix
%A Pamela Gorkin
%A Sandra Pott
%A John E. McCarthy
%A Brett D. Wick
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s00013-014-0667-8
%X We provide a new proof of Volberg's Theorem characterizing thin interpolating sequences as those for which the Gram matrix associated to the normalized reproducing kernels is a compact perturbation of the identity. In the same paper, Volberg characterized sequences for which the Gram matrix is a compact perturbation of a unitary as well as those for which the Gram matrix is a Schatten-$2$ class perturbation of a unitary operator. We extend this characterization from $2$ to $p$, where $2 \le p \le \infty$.
%U http://arxiv.org/abs/1404.3088v2