|
|||||
|
|
Positive symmetric quotients and their selfadjoint extensions |
|
| Authors: | Saichi Izumino Go Hirasawa |
| Affiliation: | Department of Mathematics, Faculty of Education, Toyama University, Toyama 930-0855, Japan ; Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, Japan |
| Abstract: | We define a quotient |
| Keywords: | Selfadjoint extension symmetric operator quotient of operators symmetric quotient |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |
of bounded operators 
and 
on a Hilbert space 
with a kernel condition 
as the mapping 
, 
. A quotient 
is said to be positive symmetric if 
. In this paper, we give a simple construction of positive selfadjoint extensions of a given positive symmetric quotient 
.