We give an affirmative answer to a conjecture of D. Herrero [6]. Let X
denote a real or complex locally convex linear space and T : X –> X a
continuous linear operator. Suppose that we are given x(1),..., x(n) is
an element of X and boolean ORk=1n Orb(T, x(k)) is dense in X. Then
Orb(T, x(j)) is dense in X for some j is an element of 1,...,n. (C)
2000 Academie des sciences/Editions scientifiques et medicales Elsevier
SAS
