Weighted projections and Riesz frames

✍ Scribed by Jorge Antezana; Gustavo Corach; Mariano Ruiz; Demetrio Stojanoff

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 319 KB
• Volume: 402
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2005.01.023

✦ Synopsis

Let H be a (separable) Hilbert space and {e k } k 1 a fixed orthonormal basis of H. Motivated by many papers on scaled projections, angles of subspaces and oblique projections, we define and study the notion of compatibility between a subspace and the abelian algebra of diagonal operators in the given basis. This is used to refine previous work on scaled projections, and to obtain a new characterization of Riesz frames.