On operator inequalities and linear combinations of operators (Q5905528)
From MaRDI portal
scientific article; zbMATH DE number 62531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On operator inequalities and linear combinations of operators |
scientific article; zbMATH DE number 62531 |
Statements
On operator inequalities and linear combinations of operators (English)
0 references
27 September 1992
0 references
Given bounded linear operators \(A_1,\dots, A_k\), \(C\), and \(P\) on a Hilbert space, the author gives necessary and sufficient conditions for operator inequalities of type \(A_1 PA^*_1+\cdots A_k PA^*_k\geq CPC^*\) with \(P\geq 0\).
0 references
