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摘要: |
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. |
关键词: 无界算子矩阵 Fredholm算子 左本质谱 本质谱 |
DOI: |
分类号:O177.1 |
基金项目:国家自然科学基金(11371185;11461049);内蒙古自然科学基金重大项目(2013ZD01);内蒙古自然科学基金(2013JQ01;2015BS0105);内蒙古工业大学自然科学基金(X201515). |
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THE ESSENTIAL SPECTRUM OF SOME UNBOUNDED BLOCK OPERATOR MATRICES |
Narenchaogetu,QI Ya-ru,HUANG Jun-jie
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Abstract: |
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. |
Key words: unbounded block operator matrix Fredholm operator left essential spectrum essential spectrum |