arXiv subjects

Ibrahim Suleiman

Publications and source records attributed to Ibrahim Suleiman.

2 recordsLinked to original sources

arXiv2022

On low-dimensional partial isometries

Two statements concerning $n$-by-$n$ partial isometries are being considered: (i) these matrices are generic, if unitarily irreducible, and (ii) if nilpotent, their numerical ranges are circular disks. Both statements hold for $n\leq 4$ but fail starting with $n=5$.

math.FA↗

arXiv2021

The Gau-Wang-Wu conjecture on partial isometries holds in the 5-by-5 case

Gau, Wang and Wu in their LAMA'2016 paper conjectured (and proved for $n\leq 4$) 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 $n=5$.

math.FA↗