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 e-prints
- Pub Date:
- November 1998
- DOI:
- 10.48550/arXiv.math/9811147
- arXiv:
- arXiv:math/9811147
- Bibcode:
- 1998math.....11147C
- Keywords:
-
- Functional Analysis;
- 46C05;
- 46B07
- E-Print:
- 15 pages