Diagonal and off-diagonal blocks of positive definite partitioned matrices
Functional Analysis
2023-12-18 v3
Abstract
We establish a sharp inequality between the blocks of positive partitioned matrices and conjecture a triangle type inequality for contractions: Given three contactions A,B,C, we conjecture that the constant c=3/4 is sharp in the triangle inequality |A+B+C| < cI + |A| +|B| + |C|.
Keywords
Cite
@article{arxiv.2307.02034,
title = {Diagonal and off-diagonal blocks of positive definite partitioned matrices},
author = {Jean-Christophe Bourin and Eun-Young Lee},
journal= {arXiv preprint arXiv:2307.02034},
year = {2023}
}
Comments
Final version, to appear in LAA, 13 pages