Data:	Lunedì 5 Aprile 2004
Luogo:	Aula 1201, Dip. Matematica, U. Roma "Tor Vergata"
Speaker:	Prof. Fernando Leòn Saavedra, Universidad de Càdiz
Titolo:	ON THE POSITIVE SUPERCYCLICITY THEOREM
Abstract:	Let us denote by T an operator on an infinite dimensional separable Banach Space X. The operator T is said to be supercyclic if there exists a vector x in X such that the projective orbit: { t Tn(x) ; n non-negative integer, t complex number } is dense in X. We will see that in several cases we can replace the complex numbers t by positive real numbers. The notion of Positive Supercyclicity and the so called Positive Supercyclicity Theorem will be central during the discussion. Finally we present some applications.