Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603446 | Linear Algebra and its Applications | 2007 | 12 Pages |
Abstract
We prove several singular value inequalities and norm inequalities involving sums and direct sums of Hilbert space operators. It is shown, among other inequalities, that if X and Y are compact operators, then the singular values of are dominated by those of X ⊕ Y. Applications of these inequalities are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory