A Pythagorean theorem for partitioned matrices
Functional Analysis
2020-11-30 v1
Abstract
We establish a Pythagorean theorem for the absolute values of the blocks of a partitioned matrix. This leads to a series of remarkable operator inequalities.
Cite
@article{arxiv.2011.13261,
title = {A Pythagorean theorem for partitioned matrices},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:2011.13261},
year = {2020}
}