INVESTIGADORES
ANTEZANA Jorge Abel
artículos
Título:
Weighted projections and Riesz Frames
Autor/es:
J. ANTEZANA; G. CORACH; M. RUIZ; D. STOJANOFF
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Lugar: Amsterdam; Año: 2005 p. 367 - 389
ISSN:
0024-3795
Resumen:
Let $mathcal{H}$ be a (separable) Hilbert space and ${e_k}_{kgeq 1}$ a fixed orthonormal basis of $mathcal{H}$. 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.
