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Functional Analysis Valencia 2000
July 3-7, 2000
Technical University of Valencia (UPV) and University of Valencia (UV)
Valencia, Spain

Organizers
R.M. Aron (Kent State U., USA), K.D. Bierstedt (U. Paderborn, Germany), J. Bonet (UPV), J. Cerdà (U. Barcelona, Spain), H. Jarchow (U. Zürich, Switzerland), M. Maestre (UV), J. Schmets (U. Liège, Belgium)

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Supercyclic Operators
by
Eva A. Gallardo-Gutiérrez
Universidad de Cádiz

A bounded operator T acting on a Hilbert space H is called cyclic if there is a vector x in H such that the linear span of the orbit {Tn x: n >= 0 } is dense in H. If the projective orbit of x, {\lambdaTn x: \lambda in C, n >= 0}, is dense, then T is called supercyclic. We study conditions for an operator to be supercyclic, and provide some examples of supercyclic and non supercyclic operators.

Date received: November 8, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cado-19.