无界闭算子的约化理论与Brown测度
On reduction theory and Brown measure for closed unbounded operators
摘要：
进一步发展了有界和无界算子的直接积分分解理论，特别是证明了关于谱投影、谓词演算和冯诺依曼代数的结果。对于属于或隶属于一个迹von Neumann代数的算子，如果该迹von Neumann代数是一个直接积分von Neumann代数，则布朗测度由布朗测度的相应积分给出.
英文摘要：
The theory of direct integral decompositions of both bounded and unbounded operators is further developed; in particular, results about spectral projections, functional calculus and affiliation to von Neumann algebras are proved. For operators belonging to or affiliated to a tracial von Neumann algebra that is a direct integral von Neumann algebra, the Brown measure is shown to be given by the corresponding integral of Brown measures.
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