The notion scattering suboperator was introduced in [4] for a generalized Lax-Phillips scattering scheme in the study a prediction problem for two weak stationary and weak stationary connected stochastic processes. Here for a K-automorphism T with fixed Kolmogorov’s generating partitions for T and \(T^{-1}\) we consider such kind generalized Lax-Phillips scattering scheme and respective scattering suboperator. Analogical we consider for a K-flow \(T^t\) \((t \in R)\) with a fixed pair of Kolmogorov’s generating partitions for \(T^t\) and \(T^{-t}\) \((t \in R)\) .
