Department of Mathematics and Computer Science,

Taurida National University,

4 Sergeeva-Tsenskogo Str.,

95011 Simferopol,

UKRAINE

E-mail: kromsh@crimea.com

***-subalgebras of locally measurable operators affiliated
to a von Neumann algebra**

**Abstract:**

The *-algebras measurable operators $S(M)$, $\tau$ is measurable
operators $S(M,\tau)$ and locally measurable operators $LS(M)$, affiliated
to a von Neumann algebras $M$ are considered. The von Neumann algebra $M$
is a *-subalgebra of $S(M,\tau)$, $S(M)$ and $LS(M)$, and coincides with
the set of all bounded operators of this algebras. $M \subset S(M,\tau)
\subset \cup_\tau S(M,\tau )\subset S(M)\subset LS(M)$.
Terms over are brought when these algebras coincide and when they are different.