Thin sequences and the Gram matrix

Authors

Pamela Gorkin, Bucknell UniversityFollow
John E. McCarthy, Washington University in St LouisFollow
Sandra Pott, Lund UniversityFollow
Brett Wick, Georgia Institute of Technology - Main CampusFollow

Publication Date

2014

Description

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 p is greater than or equal to 2 (including infinity).

Journal

Archiv der Mathematik

Volume

103

Issue

1

First Page

93

Last Page

99

Department

Mathematics

Link to Published Version

http://link.springer.com/article/10.1007%2Fs00013-014-0667-8

DOI

10.1007/s00013-014-0667-8

Recommended Citation

Gorkin, Pamela; McCarthy, John E.; Pott, Sandra; and Wick, Brett. "Thin sequences and the Gram matrix." Archiv der Mathematik (2014) : 93-99.