Local theory of frames and Schauder bases for Hilbert space
Abstract
We develope a local theory for frames on finite dimensional Hilbert spaces. In particular, a bounded frame on a finite dimensional Hilbert space contains a subset which is a good Riesz basis for a percentage (arbitrarily close to one) of the space. We also construct a normalized frame for a Hilbert space which contains a subset which is a Schauder basis for H but does not contain any subset which is a Riesz basis for H.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 1998
 DOI:
 10.48550/arXiv.math/9811147
 arXiv:
 arXiv:math/9811147
 Bibcode:
 1998math.....11147C
 Keywords:

 Functional Analysis;
 46C05;
 46B07
 EPrint:
 15 pages