Сходимости в *-алгебрах локально измеримых операторов

In the paper,the $\ast$-algebras LS(M) locally measurable operators associated by von Neumann algebra M are considered; the different kinds of convergence is this algebras (a convergence of measure, almost everywhere convergence, and locally convergence of measure, locally almost everywhere convergence) are considered and correlations between by these convergence are study.