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Thin sequences and the Gram matrix

På svenska

Author

  • Pamela Gorkin
  • John E. McCarthy
  • Sandra Pott
  • Brett D. Wick

Summary, in English

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 <= p <= infinity.

Publishing year

2014

Language

English

Pages

93-99

Publication/Series

Archiv der Mathematik

Volume

103

Issue

1

Document type

Journal article

Publisher

Birkhäuser Verlag

Topic

  • Mathematics

Keywords

  • Gram matrix
  • Thin interpolating sequence
  • Schatten-p class

Status

Published

ISBN/ISSN/Other

  • ISSN: 0003-889X