On orthogonal projectors induced by compact groups and Haar measures

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:338

Article

Niezgoda, Marek

关键词: orthogonal projector;    compact group;    Haar measure;    group majorization;    singular values;   

DOI  :  10.1016/j.jmaa.2007.06.010

来源: Elsevier

【 摘 要 】

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. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free