info:eu-repo/semantics/article
Weighted projections and Riesz frames
Fecha
2005-06Registro en:
Antezana, Jorge Abel; Corach, Gustavo; Ruiz, Mariano Andres; Stojanoff, Demetrio; Weighted projections and Riesz frames; Elsevier Science Inc; Linear Algebra and its Applications; 402; 1; 6-2005; 367-389
0024-3795
CONICET Digital
CONICET
Autor
Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andres
Stojanoff, Demetrio
Resumen
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.