English

Inequalities for generalized minors

Rings and Algebras 2013-03-13 v1

Abstract

It is a classical result that the absolute value of any kk-minor of an r×sr\times s real or complex matrix is bounded by the product of its first kk singular values. We generalize this statement to the context of real or complex simple Jordan pairs with generalized minors given by Jordan algebra determinants.

Keywords

Cite

@article{arxiv.1303.2683,
  title  = {Inequalities for generalized minors},
  author = {Benjamin Schwarz},
  journal= {arXiv preprint arXiv:1303.2683},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T23:40:19.453Z