Geodesic
One property of the weak covergence of operators iterations in von Neumann algebras
Vladikavkazskij matematičeskij žurnal, Tome 5 (2003) no. 2, pp. 34-35 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions are given for *-weak convergence of iterations for an ultraweak continuous fuctional in von Neumann algebra to imply norm convergence. 
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A. A. Katz. One property of the weak covergence of operators iterations in von Neumann algebras. Vladikavkazskij matematičeskij žurnal, Tome 5 (2003) no. 2, pp. 34-35. http://geodesic.mathdoc.fr/item/VMJ_2003_5_2_a5/

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