Inequalities for generalized minors

2013/03/11 by Benjamin Schwarz, Schwarz, Benjamin
Mathematics · #15A18 (Secondary) #15A45 (Primary) 17C50 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:15A18 #msc:15A45 #msc:17C50

paper · pdf · doi:10.48550/arxiv.1303.2683

10 pages

arxiv created 2013/03/11 · arxiv updated 2013/03/13

Abstract

It is a classical result that the absolute value of any k-minor of an r× 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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