  Isometries played a pivotal role in the development of operator theory, in
particular with the theory of contractions and polar decompositions and has
been widely studied due to its fundamental importance in the theory of
stochastic processes, the intrinsic problem of modeling the general contractive
operator via its isometric dilation and many other areas in applied
mathematics. In this paper we present some properties of
n-quasi-(m;C)-isometric operators. We show that a power of a
n-quasi-(m;C)-isometric operator is again a n-quasi-(m;C)-isometric operator
and some products and tens
