Hlawka-Popoviciu inequalities on positive definite tensors
Functional Analysis
2014-11-18 v2
Abstract
We prove inequalities on symmetric tensor sums of positive definite operators. In particular, we prove multivariable operator inequalities inspired by generalizations to the well-known Hlawka and Popoviciu inequalities. As corollaries, we obtain generalized Hlawka and Popoviciu inequalities for determinants, permanents, and generalized matrix functions. The new operator inequalities and their corollaries contain a few recently published inequalities on positive definite matrices as special cases.
Keywords
Cite
@article{arxiv.1411.0065,
title = {Hlawka-Popoviciu inequalities on positive definite tensors},
author = {Wolfgang Berndt and Suvrit Sra},
journal= {arXiv preprint arXiv:1411.0065},
year = {2014}
}
Comments
9 pages; a new section on tensor Popoviciu inequalities