| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600334 | Linear Algebra and its Applications | 2012 | 4 Pages |
Abstract
In this paper, we prove the converse of a well known result in the field of the numerical range. In fact, we show that for a matrix A∈Mn, if the inclusion σ(AB)⊆W(A)W(B) holds for all matrices B∈Mn, then A is a scalar multiple of a positive semidefinite matrix.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
