Eigenvalue inequalities associated with the cartesian decomposition |
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| Authors: | T. Ando R. Bhatia |
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| Affiliation: | a Division of Applied Mathematics, Research Institute of Applied Electricity, Hokkaido University, Sapporo, Japanb Indian Statistical Institute, New Delhi, India |
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| Abstract: | Let T=A+iB where AB are Hermitian matrices. We obtain several inequalities relating the lp distance between the eigenvalues of A and those of iB with the Schatten p-norm of T. The majorization results which lead to these inequalities are also used to get simple proofs of some known lower and upper bounds for the determinant of T. |
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