Functional Analysis and Applications Seminar 

30/05/2008, 15:00 — 16:00 — Room P3.10, Mathematics Building
El Hassan Zerouali, Faculté des Sciences de Rabat, Maroc

Hypercyclic transform of operators

Let $T$ be a bounded operator on some Hilbert space and $\mathrm{Al}(T)$ be its Aluthge transform. $T$ and $\mathrm{Al}(T)$ share in general their spectral properties and have been intensively treated this last decade. In our talk the cyclic behaviour is investigated. We show that adjoints have he same cyclic behaviour. This is done through some commutation techniques.