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科学通报(英文版) 1998
Local derivation on triangular subalgebras of hyperfinite von Neumann algebras
Keywords: hyperfinite von Neumann algebra,triangular algebra,derivation,local derivation,Inner derivation Abstract: It is proved that every σ - weakly continuous local derivation from triangular subalgebra A of hyperfinite von Neumann algebraB into A (or B) is a derivation. Morevoer, if A is also a σ-Dirichlet subalgebra, each local derivation from A into A is an inner derivation.
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