2 papers
math.FA2022
On low-dimensional partial isometries
Qixiao He, Ilya M. Spitkovsky, Ibrahim Suleiman
Two statements concerning -by- partial isometries are being considered: (i) these matrices are generic, if unitarily irreducible, and (ii) if nilpotent, their numerical range…
math.FA2021
The Gau-Wang-Wu conjecture on partial isometries holds in the 5-by-5 case
Ilya M. Spitkovsky, Ibrahim Suleiman, Elias Wegert
Gau, Wang and Wu in their LAMA'2016 paper conjectured (and proved for ) that an -by- partial isometry cannot have a circular numerical range with a non-zero center.…