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

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Showing 2022Show all

3 papers · 1 filter

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…

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 Aluthge and the mean transforms of $m$ -isometries