Seminário Análise Funcional e Aplicações 

30/05/2008, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
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.