New inequalities for sectorial matrices applying Garg-Aujla inequalities

Leila Nasiri; Shigeru Furuichi

New inequalities for sectorial matrices applying Garg-Aujla inequalities

Functional Analysis 2021-11-10 v5

Authors: Leila Nasiri , Shigeru Furuichi

Abstract

In this paper, we give new singular value inequalities and determinant inequalities including the inverse of $A$ , $B$ and $A+B$ for sector matrices. We also give the matrix inequalities for sector matrices with a positive multilinear map. Our obtained results give generalizations for the known results.

Keywords

sector matrices singular value inequalities determinant inequalities garg-aujla inequalities positive multilinear map matrix inequalities

Cite

@article{arxiv.2001.00687,
  title  = {New inequalities for sectorial matrices applying Garg-Aujla inequalities},
  author = {Leila Nasiri and Shigeru Furuichi},
  journal= {arXiv preprint arXiv:2001.00687},
  year   = {2021}
}

Comments

17 pages. Some results were improved

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