Projections of frames

Peter G. Casazza; Manuel T. Leon

doi:10.1117/12.615278

17 September 2005 Projections of frames

Peter G. Casazza, Manuel T. Leon

Proceedings Volume 5914, Wavelets XI; 591402 (2005) https://doi.org/10.1117/12.615278
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

We show how to improve the properties of a Hilbert space frame by projecting it onto a subspace of the Hilbert space. For example, for any frame on a n-dimensional Hilbert space, there is an orthogonal projection onto a subspace of dimension n/2 (if n is even) or (n+1)/2 (if n is odd) so that the projection of the frame becomes a tight frame.

Citation Download Citation

Peter G. Casazza and Manuel T. Leon "Projections of frames", Proc. SPIE 5914, Wavelets XI, 591402 (17 September 2005); https://doi.org/10.1117/12.615278

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