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A generalisation of Mirsky's singular value inequalities

Functional Analysis 2014-10-21 v1

Abstract

We prove an f-version of Mirsky's singular value inequalities for differences of matrices. This f-version consists in applying a positive concave function f, with f(0)=0, to every singular value in the original Mirsky inequalities.

Keywords

Cite

@article{arxiv.1410.4941,
  title  = {A generalisation of Mirsky's singular value inequalities},
  author = {Koenraad M. R. Audenaert},
  journal= {arXiv preprint arXiv:1410.4941},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T06:28:07.642Z