On the sum of normal matrices
Functional Analysis
2012-08-31 v4
Abstract
This short paper revisits a remarkable but almost overlooked result of Djokovi\'{c} [Proc. Amer. Math. Soc. 27 (1971) 19-23]. A connection to a result of \u{S}emrl is pointed out. With Djokovi\'{c}'s result, an extension of Craig-Sakamoto theorem to () normal matrices is presented. A comment to a recent monthly problem is also given.
Cite
@article{arxiv.1202.1207,
title = {On the sum of normal matrices},
author = {Minghua Lin},
journal= {arXiv preprint arXiv:1202.1207},
year = {2012}
}
Comments
The MS is to be expanded