On the minimizers of the fusion frame potential
Classical Analysis and ODEs
2016-05-10 v1 Functional Analysis
Abstract
We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperators of the fusion frame operator. This result will be related to the existence of tight fusion frames. In this way we generalize results known for the classical vector frame potential.
Keywords
Cite
@article{arxiv.1605.02200,
title = {On the minimizers of the fusion frame potential},
author = {Sigrid B. Heineken and Juan P. Llarena and Patricia M. Morillas},
journal= {arXiv preprint arXiv:1605.02200},
year = {2016}
}