SUPERCYCLICITY OF TWO-ISOMETRIES
SUPERCYCLICITY OF TWO-ISOMETRIES
A bounded linear operator T on a complex separable Hilbert space H is called a two-isometry, if <TEX>$T^{*2}T^2-2T^*T+1=0$</TEX>. In this paper it is shown that every two-isometry is not supercyclic. This generalizes a result due to Ansari and Bourdon.