Duality in reconstruction systems
Functional Analysis
2010-07-05 v1
Abstract
We consider the notion of finite dimensional reconstructions systems (RS's), which includes the fusion frames as projective RS's. We study erasures, some geometrical properties of these spaces, the spectral picture of the set of all dual systems of a fixed RS, the spectral picture of the set of RS operators for the projective systems with fixed weights and the structure of the minimizers of the joint potential in this setting. We give several examples.
Cite
@article{arxiv.1007.0430,
title = {Duality in reconstruction systems},
author = {Pedro Massey and Mariano Ruiz and Demetrio Stojanoff},
journal= {arXiv preprint arXiv:1007.0430},
year = {2010}
}
Comments
23 pages