摘要
主要研究了Fredholm算子及其指标分别在紧扰动和小扰动下的变化情况;验证了抽象指标与传统指标本质相同;并利用开集、同态映射和Fredholm算子的性质对Fredholm算子及其指标分别在紧扰动和小扰动下的不变性给出了相应的证明.
In this article, we studied the changes of Fredholm operators and its index under compact per-turbation ＆ small perturbation. We also proved that the classical index i and the abstract index j are essen-tially the same.At last,we gave the proofs of invariation by the properties of open set, homomorphic map- ping and Fredholm operators.
出处
《湖北民族学院学报（自然科学版）》
CAS
2017年第4期417-419,422,共4页
Journal of Hubei Minzu University(Natural Science Edition)
基金
重庆市研究生科研创新项目(YKC16001)
关键词
紧算子
FREDHOLM算子
紧扰动
小扰动
不变性
compact operator
Fredholm operator
compact perturbation
small perturbation
invariation
