| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601976 | Linear Algebra and its Applications | 2010 | 7 Pages |
Abstract
Let a,b>0a,b>0 and let Z∈Mn(R)Z∈Mn(R) such that ZZ lies into the operator ball of diameter [aI,bI][aI,bI]. Then for all positive definite A∈Mn(R)A∈Mn(R),Tr|AZ|⩽a+b2abTrAZ.Several related reverse inequalities are considered, extending some known results.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marek Niezgoda,