| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602030 | Linear Algebra and its Applications | 2009 | 6 Pages |
Abstract
We prove several singular value inequalities for commutators of Hilbert space operators. It is shown, among other inequalities, that if A, B, and X are operators on a complex separable Hilbert space such that A and B are positive, and X is compact, then the singular values of AX-XB are dominated by those of max(∥A∥,∥B∥)(X⊕X), where ∥·∥ is the usual operator norm.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
