Normal matrix compressions
Functional Analysis
2012-03-27 v2
Abstract
The recently developed theory of higher--rank numerical ranges originated in problems of error correction in quantum information theory but its mathematical implications now include a quite satisfactory understanding of \emph{scalar} compressions of complex matrices. Here our aim is to make some first steps in the more general program of understanding \emph{normal} compressions. We establish some general principles for the program and make a detailed study of rank--two normal compressions.
Cite
@article{arxiv.1203.3908,
title = {Normal matrix compressions},
author = {John Holbrook and Nishan Mudalige and Rajesh Pereira},
journal= {arXiv preprint arXiv:1203.3908},
year = {2012}
}
Comments
30 pages, 5 figures