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由算子sum from i=1 to n⊕T_i生成子代数的分裂

The Splitting of Subalgebra Cenerated by sum form i=1 to N⊕T_i
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摘要 讨论了由有界线性算子sum from n=1 to n ⊕T_i和恒等算子1生成的几种闭子代数的分裂问题。如,设α(T)表示T和1生成的弱闭子代数,那么,什么时候α(sum from i=1 to n ⊕(T_i))=sum from i=1 to n ⊕(T_i)?推广了文[1]的许多结果。 The splitting of several closed subalgebra of B(x) generated by, and the identity 1 is discussed. For example, let a(T) denote the weakly closed subalgebra of B(x) generated by T and 1, when is a=? A number of results are generalized in paper[1].
作者 丁宣浩
出处 《西南民族学院学报(畜牧兽医版)》 1993年第2期129-135,143,共8页
关键词 巴拿赫空间 线性算子 算子代数 Banach space, bounded linear operator, operator algebra, commutator, invariant space
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