Decomposition of trace class operators in weakly closed modules over nest algebras(套代数弱闭模中迹类算子的分解)

Decomposition of trace class operators in weakly closed modules over nest algebras(套代数弱闭模中迹类算子的分解)

设是Hilbert空间上套代数的弱闭模，.本文证得：若T为秩n算子，则存在n个秩一算子，使得，并且；若T为迹类算子，则T可表示为一个迹范数绝对收敛级数，其中构成该级数的每一项都是中的秩一算子，并且利用该结果，得到了算子到的距离公式....

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Bibliographic Details
Main Authors: LIPeng-tong(李鹏同), LUShi-jie(鲁世杰)
Format: Article
Language:zho
Published: Zhejiang University Press 2001-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
弱闭模
迹类算子
秩一算子
分解
距离公式
Online Access:https://doi.org/zjup/1008-9497.2001.28.4.355-359

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