Local theory of frames and Schauder bases for Hilbert space

Details Local theory of frames and Schauder bases for Hilbert space Local theory of frames and Schauder bases for Hilbert space

1998-11-24

arxiv.org/abs/math/9811147v1

Mathematics

Functional Analysis

15 pages; to appear: Illinois J. Math

Scientific paper

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.

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