中文摘要：

本文完全描述了一类3×3上三角算子矩阵的点谱和剩余谱,并将剩余谱表示为一些互不相交子集合的并集,在l~2×l~2×l~2中构造了具体例子说明该算子的剩余谱可能非空,从而验证了所得结果的有效性.

英文摘要：

In this paper, the point spectrum and residual spectrum for a class of 3 × 3 upper triangular operator matrices are described completely, and the residual spectrum of the operator is divided into some disjoint subsets. Moreover, some examples of 12 × 12 × 12 are constructed to show that the residual spectrum of the operator may be nonempty, which verifies the effectiveness of the result.