مشخصات پژوهش

In this paper we continue our investigation of Wold-type decomposition in Baer ∗-rings. We obtain further information on building blocks of commuting pairs of isometries, by constructing Popovici decomposition of bi-isometries in Baer ∗-rings. Then we introduce Suciu decomposition of an Abelian isometric semigroup. Moreover, we clarify the relationship between the Wold-Slocinski’s decomposition of a given biisometry and Suciu decomposition of the semigroup induced by this bi-isometry