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Fredholm算子的典则正规化子
引用本文:谢玉琼.Fredholm算子的典则正规化子[J].湖北工业大学学报,1995,10(2):85-89.
作者姓名:谢玉琼
作者单位:湖北工学院基础课部
摘    要:本文从Fedholm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,证明了典则正规则化子的存在性和唯一性,阐明了它具有塑 算子主要特征,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。

关 键 词:正规子  约束算子  归一化算子  弗雷德霍姆算子

Canonical Regularizer of Fredholm Operators
Xie Yuqiong.Canonical Regularizer of Fredholm Operators[J].Journal of Hubei University of Technology,1995,10(2):85-89.
Authors:Xie Yuqiong
Affiliation:Xie Yuqiong
Abstract: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.
Keywords:Fredholm operator  Regularizer  Restricted operator  Normalization operator  Quasi-inverse  Parametrix  Zero divisor
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