English

Tight and random nonorthogonal fusion frames

Functional Analysis 2013-09-04 v1

Abstract

First we show that tight nonorthogonal fusion frames a relatively easy to com by. In order to do this we need to establish a classification of how to to wire a self adjoint operator as a product of (nonorthogonal) projection operators. We also discuss the link between nonorthogonal fusion frames and positive operator valued measures, we define and study a nonorthogonal fusion frame potential, and we introduce the idea of random nonorthogonal fusion frames.

Keywords

Cite

@article{arxiv.1309.0532,
  title  = {Tight and random nonorthogonal fusion frames},
  author = {Jameson Cahill and Peter G. Casazza and Martin Ehler and Shidong Li},
  journal= {arXiv preprint arXiv:1309.0532},
  year   = {2013}
}
R2 v1 2026-06-22T01:19:24.121Z