M. Aouichaoui

collaborators

2 papers

math.FA2026

Sharp spectral constants for scaled $q$ -numerical ranges

Mohamed Amine Aouichaoui, Ryan O'Loughlin

For $n \geq 2$ , $A \in M_{n} (C)$ and $0 < ∣ q ∣ \leq 1$ , let $Ω_{q} (A) = q^{- 1} W_{q} (A)$ be the scaled $q$ -numerical range. We prove that for every $γ \geq 1$ , \[ Ω_{η(γ)}(A) =\bigcup_{κ…

math.FA2026

On $m$ -partial isometries: spectra, weighted shifts, and similarity

Mohamed Amine Aouichaoui, MichaÅ BuchaÅa, Stephan Ramon Garcia

The aim of this paper is to study $m$ -partial isometries on Hilbert spaces, a natural extension of partial isometries and $m$ -isometries. We establish structural and spectral resul…

Sharp spectral constants for scaled q-numerical ranges

On m-partial isometries: spectra, weighted shifts, and similarity

Sharp spectral constants for scaled $q$ -numerical ranges

On $m$ -partial isometries: spectra, weighted shifts, and similarity