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半Fredholm算子的一个注记
吴珍莺¹, 曾清平²
1.福州海峡职业技术学院基础教学部, 福建福州 350014;2.福建师范大学数学与计算机科学学院, 福建福州 350007

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).

A NOTE ON SEMI-FREDHOLM OPERATORS

WU Zhen-ying¹, ZENG Qing-ping²

1.Dept. of Basic Education, Fuzhou Strait Vocation Technological College, Fuzhou 350014, China;2.School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China

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