Von Neumann's inequality for tensors
Numerical Analysis
2015-02-06 v1 Spectral Theory
Abstract
For two matrices in , the von Neumann inequality says that their scalar product is less than or equal to the scalar product of their singular spectrum. In this short note, we extend this result to real tensors and provide a complete study of the equality case.
Cite
@article{arxiv.1502.01616,
title = {Von Neumann's inequality for tensors},
author = {Stéphane Chrétien and Tianwen Wei},
journal= {arXiv preprint arXiv:1502.01616},
year = {2015}
}