A Commutative and Compact Derivations for W* Algebras
In this paper, we study the compact derivations on W* algebras. Let M be W*-algebra, let LS(M) be algebra of all measurable operators with M, it is show that the results in the maximum set of orthogonal predictions. We have found that W* algebra A contains the Center of a W* algebra s and is either a commutative operation or properly infinite. We have considered derivations from W* algebra two-sided ideals.