Fredholm算子的典则正规化子  

Canonical Regularizer of Fredholm Operators

作　　者：谢玉琼[1] 

机构地区：[1]湖北工学院基础课部

出　　处：《湖北工学院学报》1995年第2期85-89,共5页

摘　　要：本文从Ｆｒｅｄｈｏｌｍ算子的正规化子中，挑选出一个具有许多优美性质的算子，称之为典则正规化子．证明了典则正规化子的存在性和唯一性，阐明了它具有逆算子的主要特征，因而可以看作是一种广义逆算子，还研究了与之相联系的约束算子和归一化算子，并讨论了它们的若干用途．From the regularizers of a Fredholm operator, an operator,which has many fine properties is selected out, called canonical regularizer. The existence and uniqueness are also proved. And it is shown that such an operator has principal properties, regarded as a generalized inverse operator. Then the associated restricted operator and unisolved operator are considered. And their some uses are discussed.

关 键 词：正规子 约束算子 归一化算子 弗雷德霍姆算子 

分 类 号：O177[理学—数学]