Thin sequences and the Gram matrix
(2014) In Archiv der Mathematik 103(1). p.93-99- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4667883
- author
- Gorkin, Pamela ; McCarthy, John E. ; Pott, Sandra LU and Wick, Brett D.
- organization
- publishing date
- 2014
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Gram matrix, Thin interpolating sequence, Schatten-p class
- in
- Archiv der Mathematik
- volume
- 103
- issue
- 1
- pages
- 93 - 99
- publisher
- Birkhäuser
- external identifiers
-
- wos:000339969000010
- scopus:84905489807
- ISSN
- 0003-889X
- DOI
- 10.1007/s00013-014-0667-8
- language
- English
- LU publication?
- yes
- id
- bc4dc828-76bd-4b58-bb54-8730d6b8a7a0 (old id 4667883)
- date added to LUP
- 2016-04-01 10:58:40
- date last changed
- 2024-05-06 02:14:48
@article{bc4dc828-76bd-4b58-bb54-8730d6b8a7a0, abstract = {{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.}}, author = {{Gorkin, Pamela and McCarthy, John E. and Pott, Sandra and Wick, Brett D.}}, issn = {{0003-889X}}, keywords = {{Gram matrix; Thin interpolating sequence; Schatten-p class}}, language = {{eng}}, number = {{1}}, pages = {{93--99}}, publisher = {{Birkhäuser}}, series = {{Archiv der Mathematik}}, title = {{Thin sequences and the Gram matrix}}, url = {{http://dx.doi.org/10.1007/s00013-014-0667-8}}, doi = {{10.1007/s00013-014-0667-8}}, volume = {{103}}, year = {{2014}}, }