Article ID Journal Published Year Pages File Type
4603446 Linear Algebra and its Applications 2007 12 Pages PDF
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