“…Very recently, researchers have been interested in algebraic properties, cyclicity and supercyclicity of m-isometries, among other things. See [28,24,14,16,15,18,13,12,26,11,22] and the references therein. It was showed by Agler, Helton and Stankus [4,Section 1.4] that any m-isometry T on a finite dimensional Hilbert space admits a decomposition T = S + N, where S is a unitary and N is a nilpotent operator satisfying SN = NS.…”