Zouheir Amara

activity

20222026

most cited

C

-normality of rank-one perturbations of normal operators

2 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2026

Spectral and numerical radius preservers on pairs of unitarily similar operators

Zouheir Amara

Let $H$ be a complex Hilbert space. We characterize the bijective linear maps $Φ : B (H) \to B (H)$ that preserve the spectral radius, r…

math.FA2024

Interpolation theorems for conjugations and applications

Zouheir Amara

Let $H$ be a separable complex Hilbert space. A conjugate-linear map $C : H \to H$ is called a conjugation if it is an involutive isometry. In this paper…

math.FA2022★ 2 cited

$C$ -normality of rank-one perturbations of normal operators

Zouheir Amara, Mourad Oudghiri

For a separable complex Hilbert space $H$ , we say that a bounded linear operator $T$ acting on $H$ is $C$ -normal, where $C$ is a conjugation on $H$ , if it satisfies $C T^{*} T C = T T^{*}$ .…

Spectral and numerical radius preservers on pairs of unitarily similar operators

Interpolation theorems for conjugations and applications

C-normality of rank-one perturbations of normal operators

$C$ -normality of rank-one perturbations of normal operators