One property of the weak covergence of operators iterations in von Neumann algebras
Автор: Katz Alexander A.
Журнал: Владикавказский математический журнал @vmj-ru
Статья в выпуске: 2 т.5, 2003 года.
Бесплатный доступ
Conditions are given for *-weak convergence of iterations for an ultraweak continuous fuctional in von Neumann algebra to imply norm convergence.
Короткий адрес: https://sciup.org/14318081
IDR: 14318081
Список литературы One property of the weak covergence of operators iterations in von Neumann algebras
- Bratteli O., Robinson D. Operator Algebras and Quantum Statistical Mechanics.-New York-Heidelberg-Berlin: Springer-Verlag, 1979.-500 p.
- Katz A. A. Ergodic Type Theorem in von Neumann Algebras.-Ph. D. Thesis.-Pretoria: University of South Africa, 2001.-84 p.
- Pedersen G. K. C*-algebras and their automorphism groups.-London-New York-San Francisco: Academic Press, 1979.-416 p.
- Sakai S. C*-algebras and W*-algebras.-Berlin: Springer-Verlag, 1971.-256 p.
- Takesaki M. Theory of Operator Algebras. I.-Berlin: Springer-Verlag, 1979.-vii+415 p.
Статья научная
