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| 摘要: |
| 本文研究了(上,下)半Fredholm算子的结构问题.利用经典的算子理论方法,由闭不变子空间诱导的两个映射,获得了(上,下)半Fredholm算子的多种新的等价刻画,推广了(上,下)半Fredholm算子的已有结果. |
| 关键词: 半Fredholm算子 左(右)移位Samuel重数 |
| DOI： |
| 分类号:O177.2 |
| 基金项目:国家自然科学基金(11171066);高等学校博士学科点专项科研基金(2010350311001). |
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| A NOTE ON SEMI-FREDHOLM OPERATORS |
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WU Zhen-ying,ZENG Qing-ping
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| Abstract: |
| In this paper, we investigate the structure problem of (upper and lower) semi-Fredholm operators. Utilizing the classical methods in operator theory, we obtain several new characterizations of (upper and lower) semi-Fredholm operators, via the two corresponding maps induced by the closed invariant subspace, which generalize those results in the literature. |
| Key words: semi-Fredholm operators (backward) shift Samuel multiplicity |
