Local derivation on triangular subalgebras of hyperfinite von Neumann algebras  

作　　者：JI Peisheng Department of Mathematics, Shandong University, Jinan 250100, China 

出　　处：《Chinese Science Bulletin》1998年第9期716-719,共4页

摘　　要：It is proved that every σ-weakly continuous local derivation from triangular subalgebra A of hyperfinite von Neumann algebra B 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.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.

关 键 词：hyperfinite von NEUMANN ALGEBRA TRIANGULAR ALGEBRA DERIVATION local DERIVATION INNER derivation. 

分 类 号：O186.1[理学—数学]