2 papers
math.FA2022
On the image of the mean transform
Fadil Chabbabi, Maëva Ostermann
Let be the algebra of all bounded operators on a Hilbert space . Let be the polar decomposition of an operator . The mean transform of is defined…
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…