Some inequalities involving determinants,eigenvalues, and Schur complements in Euclidean Jordan algebras |
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| Authors: | M Seetharama Gowda Jiyuan Tao |
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| Institution: | (1) Department of Mathematics, Xi dian University, XiAn, 710071, PR China;(2) Department of Mathematics, School of Science, Tianjin University, Tianjin, 300072, PR China |
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| Abstract: | In this paper, using Schur complements, we prove various inequalities in Euclidean Jordan algebras. Specifically, we study
analogues of the inequalities of Fischer, Hadamard, Bergstrom, Oppenheim, and other inequalities related to determinants,
eigenvalues, and Schur complements. |
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| Keywords: | |
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