Higher-Rank Numerical Ranges and Compression Problems

Details Higher-Rank Numerical Ranges and Compression Problems Higher-Rank Numerical Ranges and Compression Problems

2005-11-10

arxiv.org/abs/math/0511278v2

Lin. Alg. Appl., 418 (2006), 828-839.

Mathematics

Functional Analysis

14 pages, 3 figures, to appear in Linear Algebra and its Applications

Scientific paper

We consider higher-rank versions of the standard numerical range for
matrices. A central motivation for this investigation comes from quantum error
correction. We develop the basic structure theory for the higher-rank numerical
ranges, and give a complete description in the Hermitian case. We also consider
associated projection compression problems.

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