摘要
研究无界2×2分块算子矩阵是Fredholm算子、Weyl算子的充要条件;给出了次对角元占优2×2分块算子矩阵的本质谱、Weyl谱与其子块算子本质谱、Weyl谱的关系;研究了主对角元占优2×2分块算子矩阵的本质谱、Weyl谱与其子块算子本质谱、Weyl谱的关系.
This paper is concerned with the necessary and sufficient conditions that a class of unbounded 2×2 block operator matrices are Fredholm operators or Weyl operators. Some necessary and sufficient conditions are given under which the essential spectrum and the Weyl spectrum of the block operator matrix coincide with the essential spectrum and the Weyl spectrum of its entries.
引文
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