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].
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