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弱可约极大三角代数的上同调
引用本文:董浙,鲁世杰.弱可约极大三角代数的上同调[J].东北数学,2000,16(3):299-306.
作者姓名:董浙  鲁世杰
作者单位:DONG Zhe (Department of Mathematics,China Institute of Metrology,Hangzhou,310034) LU Shi-Jie (Department of Mathematics,Zhejiang University,Hangzhou, 310027 )
基金项目:The NSF (19771072) of China.
摘    要:In this paper, we introduce the concept of weakly reducible maximal triangular algebras φwhich form a large class of maximal triangular algebras. Let B be a weakly closed algebra containing 5φ, we prove that the cohomology spaces H^n(φ, B) (n≥1) are trivial.

关 键 词:最大三角代数  上同调空间  弱还原性  复希尔伯特空间

Cohomology of Weakly Reducible Maximal Triangular Algebras
DONG Zhe.Cohomology of Weakly Reducible Maximal Triangular Algebras[J].Northeastern Mathematical Journal,2000,16(3):299-306.
Authors:DONG Zhe
Institution:[1]DepartmentofMathematics,ChinaInstituteofMetrology,Hangzhou,310034 [2]DepartmentofMathematics,ZhejiangUniversity,Hangzhou,310027
Abstract:
Keywords:weakly reducible maximal triangular algebra  cohomology s pace
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