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Rearrangement inequalities for Hermitian matrices

✍ Scribed by Lin Tie; Kai-Yuan Cai; Yan Lin

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
199 KB
Volume
434
Category
Article
ISSN
0024-3795

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For given integers n i, n 2 ~ 1, we consider two hermitian matrices of order n --n 1 +ng., written in block form: where every matrix X~j has dimension n, X nj, 1 < i, j < 2. It is proved that if A u > B u > 0, Az~ > B~ > 0, then per A > per B > 0.