English

On a reverse of the Tan-Xie inequality for sector matrices and its applications

Functional Analysis 2020-01-10 v2

Abstract

In this short paper, we establish a reverse of the derived inequalities for sector matrices by Tan and Xie, with Kantorovich constant. Then, as application of our main theorem, some inequalities for determinant and unitarily invariant norm are presented.

Keywords

Cite

@article{arxiv.2001.00683,
  title  = {On a reverse of the Tan-Xie inequality for sector matrices and its applications},
  author = {Leila Nasiri and Shigeru Furuichi},
  journal= {arXiv preprint arXiv:2001.00683},
  year   = {2020}
}

Comments

9 pages. Several errors were modified