| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4622106 | Journal of Mathematical Analysis and Applications | 2008 | 7 Pages |
Abstract
We study the difference of two orthogonal projectors induced by compact groups of linear operators acting on a vector space. An upper bound for the difference is derived using the Haar measures of the groups. A particular attention is paid to finite groups. Some applications are given for complex matrices and unitarily invariant norms. Majorization inequalities of Fan and Hoffmann and of Causey are rediscovered.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
