一类无界算子矩阵的本质谱

摘要

In this paper, we consider the left essential spectrum and essential spectrum of off-diagonally dominant unbounded block operator matrices M =ABCD . By means of analysis method and basic properties of operator matrices, we obtain the relationship between the essential spectrum and essential spectrum of block operator matrices with their entries.%本文研究了次对角占优的无界算子矩阵M=(ABCD)的左本质谱和本质谱.利用分析方法和分块算子的性质,得到了整个算子矩阵的本质谱(左本质谱)与其内部元素的本质谱(左本质谱)之间的关系.