Multi-hypercyclic operators are hypercyclic

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HYPERCYCLIC OPERATORS, MIXING OPERATORS AND THE BOUNDED STEPS PROBLEM (2005, result): “This is also the case for the results [13], [29] and [12], which yield Ansari’s result as a corollary.”
Disjointness in hypercyclicity (2007, background): “The second author [22] and independently Costakis [8] showed that if the union of finitely many orbits of T is dense, then one of such orbits must already be dense.”
Hypercyclic tuples of operators and somewhere dense orbits (2008, background): “The fact that multi-hypercyclic operators are in fact hypercyclic was proven independently by Costakis [9] and Peris [ 22 ].”
Hypercyclic operators on non-locally convex spaces (2003, background): “(3) Costakis [5], Peris [8]: If T is multi-hypercyclic (i.”
HYPONORMAL OPERATORS, WEIGHTED SHIFTS AND WEAK FORMS OF SUPERCYCLICITY (2006, background): “It was recently shown, however, that all finitely supercyclic operators are in fact supercyclic [13].”
Somewhere dense orbits are everywhere dense (2003, background): “Recently, George Costakis [5] and Alfredo Peris [13] independently established Herrero’s Conjecture, proving that the density in X of ∪k=1Orb(T, xk) implies”