3 papers
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 …
math.FA2022
The Aluthge and the mean transforms of -isometries
Fadil Chabbabi, Maëva Ostermann
Let be a bounded linear operator on a Hilbert space , let be its polar decomposition of and let . The -Aluthge transform and t…
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…