2021/08/16 by Ilya M. Spitkovsky, Spitkovsky, Ilya M., Ibrahim Suleiman +3
Mathematics · #15A60 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2108.07024
openalex publication_date 2021/08/16 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
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 also for n=5.