| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4603673 | Linear Algebra and its Applications | 2007 | 5 Pages |
Abstract
Let ϕbe a positive linear functional on the algebra of n × n complex matrices and p be a number greater than 1. The main result of the paper says that if for any pair A, B of positive semi-definite n × n matrices with A ⩽ B the inequality ϕ(Ap) ⩽ ϕ(Bp) holds true, then ϕis a nonnegative scalar multiple of the trace.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
