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<p>Conditions are established for rank three partial isometries to have circular components contained in their Kippenhahn curves. In particular, such matrices with circular numerical ranges are described. It is also established that the Gau–Wang–Wu conjecture holds for matrices under consideration.</p>

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On Kippenhahn Curves of Low Rank Partial Isometries

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Nikita Popov,
  • Eric Shen,
  • Ilya M. Spitkovsky

摘要

Conditions are established for rank three partial isometries to have circular components contained in their Kippenhahn curves. In particular, such matrices with circular numerical ranges are described. It is also established that the Gau–Wang–Wu conjecture holds for matrices under consideration.