THE GAU-WANG-WU CONJECTURE ON PARTIAL ISOMETRIES HOLDS IN THE 5-BY-5 CASE

Ilya M. Spitkovsky, Ibrahim Suleiman, Elias Wegert

Research output: Contribution to journalArticlepeer-review

Abstract

Gau, Wang and Wu in their LAMA'2016 paper conjectured (and proved for n < 4) that an n-by-n partial isometry cannot have a circular numerical range with a non-zero center. We prove that this statement holds for n = 5.

Original languageEnglish (US)
Pages (from-to)107-113
Number of pages7
JournalElectronic Journal of Linear Algebra
Volume38
DOIs
StatePublished - 2022

Keywords

  • Kippenhahn curve
  • Kippenhahn polynomial
  • Numerical range
  • Partial isometry

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'THE GAU-WANG-WU CONJECTURE ON PARTIAL ISOMETRIES HOLDS IN THE 5-BY-5 CASE'. Together they form a unique fingerprint.

Cite this