Muratov M. Converqences, erqodic theorems and the representability in the alqtbras of measurable functions and operator.

Algebras of the measurable and locally measurable operators added to algebra the Neymana background. Research of vzaєmosvyazi these algebras and different types of shodimosti of sequences of operators at them, leading of some analogues of ergodichnoy theorem, research to depicts different commutation correlations. The methods of functional analysis are research methods, theories of algebras the Neymana background, theories of uncommutative integration, theories of measure, ergodichnoy theories and theories of images. It is built structural teoriya- algebras of measurable operators. The analogues of individual and dominant ergodichnih theorems are proved. Results in the theory of operator algebras are given. Sphere of use is the functional analysis, theoretical physics, representation theory , theory of noncommutative integration and noncommutative probability theory