Higher-rank numerical ranges and compression problems

@article{Choi2005HigherrankNR,
  title={Higher-rank numerical ranges and compression problems},
  author={Man-Duen Choi and D. Kribs and K. Życzkowski},
  journal={Linear Algebra and its Applications},
  year={2005},
  volume={418},
  pages={828-839}
}
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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