INVESTIGADORES
STOJANOFF Demetrio
artículos
Título:
Duality in Reconstruction Systems
Autor/es:
P. MASSEY, M. A. RUIZ Y D. STOJANOFF
Revista:
LINEAR ALGEBRA AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE INC
Referencias:
Año: 2012 vol. 436 p. 167 - 183
ISSN:
0024-3795
Resumen:
We consider reconstruction systems (RS´s), which are G-frames in a finite dimensional setting, and that includes the fusion frames as projective RS´s. We describe the spectral picture of the set of RS operators for the projective systems with fixed weights. We also introduce a functional defined on dual pairs of RS´s, called the joint potential, and study the structure of the minimizers of this functional. In the case of irreducible RS´s the minimizers are characterize as the tight systems. In the general case we give spectral and geometric characterizations of the minimizers of the joint potential. At the end of the paper we show several examples that illustrate our results.
