Inequalities for generalized minors
classification
🧮 math.RA
keywords
complexgeneralizedjordanminorsrealabsolutealgebrabounded
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It is a classical result that the absolute value of any $k$-minor of an $r\times s$ real or complex matrix is bounded by the product of its first $k$ singular values. We generalize this statement to the context of real or complex simple Jordan pairs with generalized minors given by Jordan algebra determinants.
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