设Mc={A0 CB}∈B(X+Y)为定义在Banach空间X Y上的上三角算子矩阵,讨论了Browder定理对Mc成立的一些充分条件,并对文献[9]中的定理2.1举反例指明失误,并进行了修正.
Abstract: Let Mc (A0 CB) ∈ B(X + Y) be an upper triangular operator acting on the Banaeh spaces B (X +Y), this paper explores the condition under which Browder's theorem survive for upper triangular operator matrices. And by giving a counter - example, the author points out that one of the result(theorem 2.1 ) in the paper[9] is wrong, and provides a solution.