Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498214 | Linear Algebra and its Applications | 2005 | 23 Pages |
Abstract
Let H be a (separable) Hilbert space and {ek}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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jorge Antezana, Gustavo Corach, Mariano Ruiz, Demetrio Stojanoff,