Operator algebra of finite class
Hisaharu Umegaki · Kodai Mathematical Journal · 1952
By Hlaaharu UMEGAKI The concept of centering has been introduced by I E. So gal into L 1 PROOF.It has been already stated in ClOl , Prop, 3 and Its proof that J& has a centering ^, and coincides ^ of w* .From the definition of \ of finite W*-algebra (cΓ.Dixmier C23 Th. 1), ΓorA * W* A* belong to the uniform closure of convex hull of \ OΓ'AU 1 u € W*" ια> J.