NORMAL EXTENSIONS OF LINEAR OPERATORS

被引：0
|
作者：
Biyarov, B. N. [1 ]
机构：
[1] LN Gumilyov Eurasian Natl Univ, Dept Mech & Math, 2 Satpayev St, Astana 010008, Kazakhstan
来源：
EURASIAN MATHEMATICAL JOURNAL | 2016年 / 7卷 / 03期
关键词：
formally normal operator; normal operator; correct restriction; correct extension;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L-0 be a densely defined minimal linear operator in a Hilbert space H. We prove that if there exists at least one correct extension L-S of L-0 with the property D(L-S) = D(L-S*), then we can describe all correct extensions L with the property D(L) = D(L*). We aL(S)o prove that if L-0 is formally normal and there exists at least one correct normal extension L-N, then we can describe all correct normal extensions L of L-0. As an example, the Cauchy-Riemann operator is considered.
引用
收藏
页码：17 / 32
页数：16
相关论文
共 50 条
12345