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-  2017 

一类无界算子矩阵的本质谱
THE ESSENTIAL SPECTRUM OF SOME UNBOUNDED BLOCK OPERATOR MATRICES

Keywords: 无界算子矩阵 Fredholm算子 左本质谱 本质谱
unbounded block operator matrix Fredholm operator left essential spectrum essential spectrum

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Abstract:

本文研究了次对角占优的无界算子矩阵M=(CADB)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.
In this paper, we consider the left essential spectrum and essential spectrum of off-diagonally dominant unbounded block operator matrices M=(CADB). 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

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