Thin sequences and the Gram matrix
Archiv der Mathematik, ISSN: 0003-889X, Vol: 103, Issue: 1, Page: 93-99
2014
- 6Citations
- 165Usage
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Metrics Details
- Citations6
- Citation Indexes6
- CrossRef2
- Usage165
- Downloads111
- Abstract Views54
Article 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 2 ≤ p ≤ ∞. © 2014 Springer Basel.
Bibliographic Details
https://digitalcommons.bucknell.edu/fac_journ/786; https://openscholarship.wustl.edu/math_facpubs/15; https://digitalcommons.bucknell.edu/fac_journ/1021
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84905489807&origin=inward; http://dx.doi.org/10.1007/s00013-014-0667-8; http://link.springer.com/10.1007/s00013-014-0667-8; http://link.springer.com/content/pdf/10.1007/s00013-014-0667-8; http://link.springer.com/content/pdf/10.1007/s00013-014-0667-8.pdf; http://link.springer.com/article/10.1007/s00013-014-0667-8/fulltext.html; https://digitalcommons.bucknell.edu/fac_journ/786; https://digitalcommons.bucknell.edu/cgi/viewcontent.cgi?article=1918&context=fac_journ; https://openscholarship.wustl.edu/math_facpubs/15; https://openscholarship.wustl.edu/cgi/viewcontent.cgi?article=1014&context=math_facpubs; https://digitalcommons.bucknell.edu/fac_journ/1021; https://digitalcommons.bucknell.edu/cgi/viewcontent.cgi?article=1982&context=fac_journ; https://dx.doi.org/10.1007/s00013-014-0667-8; https://link.springer.com/article/10.1007/s00013-014-0667-8
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