F. Chabbabi

activity

20162026

most citedThe mean transform and the mean limit of an operator

15 citations · 16 across the 6 of their papers we have counts for

collaborators

9 papers

math.FA2026

Surjective maps preserving quasi-nilpotence of products of operators

Zakariae Azna, Fadil Chabbabi

Let $X$ be an infinite-dimensional complex Banach space and let $B (X)$ the full algebra of all bounded linear operator on $X$ . In this paper, we give a complete characteri…

math.FA2026

Algebraic Direct Sums and Generalized Drazin Invertibility

Zakariae Aznay, Fadil Chabbabi

Let $T$ be a bounded linear operator on a complex Banach space $X$ . We prove that the algebraic decomposition \[ X=\K(T)\oplus \Hq(T) \] forces both summands to be closed and hence…

math.FA2022

On the image of the mean transform

Fadil Chabbabi, Maëva Ostermann

Let $B (H)$ be the algebra of all bounded operators on a Hilbert space $H$ . Let $T = V ∣ T ∣$ be the polar decomposition of an operator $T \in B (H)$ . The mean transform of $T$ is defined…

math.FA2022

Commuting maps with the Mean Transform under Jordan product

Fadil Chabbabi

In this article, we give a complete characterization of the bijective maps which commute with the mean transform under Jordan product. The main result is the following : Let $H, K$ …

math.FA2022

The Aluthge and the mean transforms of $m$ -isometries

Fadil Chabbabi, Maëva Ostermann

Let $T \in B (H)$ be a bounded linear operator on a Hilbert space $H$ , let $T = V ∣ T ∣$ be its polar decomposition of $T$ and let $λ \in [0, 1]$ . The $λ$ -Aluthge transform $Δ_{λ} (T)$ and t…

math.FA2018★ 15 cited

The mean transform and the mean limit of an operator

F. Chabbabi, E. Curto, M. Mbekhta

Let $T$ be a bounded linear operator on a Hilbert space $H$ , and let $T \equiv V ∣ T ∣$ be the polar decomposition of $T$ . The mean transform of $T$ is defined by $\widehat{…

math.FA2016★ 1 cited

Jordan product commuting maps with $λ$ -Aluthge transform

F Chabbabi, M Mbekhta

Let H and K be two complex Hilbert spaces and B(H) be the algebra of bounded linear operators from H into itself. The main purpose in this paper is to obtain a characterization of…

math.FA2016

New formulas for the spectral radius via Aluthge transform

Fadil Chabbabi, Mostafa Mbekhta

In this paper we give several expressions of spectral radius of a bounded operator on a Hilbert space, in terms of iterates of Aluthge transformation, numerical radius and the asym…

math.FA2016

Product commuting maps with the $λ$ -Aluthge transform

Fadil Chabbabi

Let H and K be two Hilbert spaces and B(H) be the algebra of all bounded linear operators from H into itself. The main purpose of this paper is to obtain a characterization of bije…

Surjective maps preserving quasi-nilpotence of products of operators

Algebraic Direct Sums and Generalized Drazin Invertibility

On the image of the mean transform

Commuting maps with the Mean Transform under Jordan product

The Aluthge and the mean transforms of m-isometries

The mean transform and the mean limit of an operator

Jordan product commuting maps with λ-Aluthge transform

New formulas for the spectral radius via Aluthge transform

Product commuting maps with the λ-Aluthge transform

The Aluthge and the mean transforms of $m$ -isometries

Jordan product commuting maps with $λ$ -Aluthge transform

Product commuting maps with the $λ$ -Aluthge transform