On the continuity of the map square root of nonnegative isomorphisms in Hilbert spaces
Let H be a real (or complex) Hilbert space. Every nonnegative operator L ∈ L(H) admits a unique nonnegative square root R ∈ L(H), i.e., a nonnegative operator R ∈ L(H) such that R2 = L. Let GL+ S (H) be the set of nonnegative isomorphisms in L(H). First we will show that GL+ S (H) is a convex...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | Spanish |
| Published: |
Universidad Industrial de Santander
2015-06-01
|
| Series: | Revista Integración |
| Subjects: | |
| Online Access: | http://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4766/4925 |