Normal matrix compressions

Details Normal matrix compressions Normal matrix compressions

2012-03-18

arxiv.org/abs/1203.3908v2

Mathematics

Functional Analysis

30 pages, 5 figures

Scientific paper

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.

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