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arXiv · 1203.3908

Normal matrix compressions

John Holbrook·Nishan Mudalige·Rajesh Pereira
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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.

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John Holbrook, Nishan Mudalige, Rajesh Pereira. 2012-03-25. Normal matrix compressions. https://arxiv.org/abs/1203.3908

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