摘要
基于右上角元素值域的闭性和某空间族的维数扰动,得到了缺项四分块算子矩阵(AC?B)存在Fredholm补的一个新的充分必要条件,结果表明该类补问题可以转化为缺项上三角算子矩阵的Fredholm补加以解决.
Based on the closedness of range of the top right entry and the dimenmon perturbation of some family of spaces, a new necessary and sufficient condition is ob- tained for the partial block operator matrix （A？ CB） tO have a Fredholm completion. It is shown that this kind of completion problems can be reduced to the case of upper triangular operator matrices.
作者
张慧芳
齐雅茹
黄俊杰
ZHANG Huifang QI Yaru HUANG Junjie(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China College of Sciences Inner Mongolia University of Technology, Hohhot 010051, China)
出处
《应用泛函分析学报》
2017年第3期272-278,共7页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(11461049
11601249)
内蒙古自然科学基金(2015BS0105)
内蒙古工业大学自然科学基金(X201515)
