Hilbert space operators with two-isometric dilations

Catalin Badea, Laurian Suciu

A bounded linear Hilbert space operator $S$ is said to be a $2$-isometry if the operator $S$ and its adjoint $S^{\ast }$ satisfy the relation $S^{\ast 2}{S}^2-2S^{\ast }S+I=0$. In this pa…