New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality
Functional Analysis
2021-05-31 v1
Abstract
The purpose of this paper is to establish new log-majorization results concerning eigenvalues and singular values which generalize some previous work related to a conjecture and an open question which were presented by R. Lemos and G. Soares in \cite{lemos}. In addition, we present a complement of a unitarily invariant norm inequality which was conjectured by R. Bhatia, Y. Lim and T. Yamazaki in \cite{Bhatia2}, and recently proved by T.H. Dinh, R. Dumitru and J.A. Franco in \cite{Dinh} for the Schatten p-norm with .
Cite
@article{arxiv.2105.13356,
title = {New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality},
author = {Mohammad M. Ghabries and Hassane Abbas and Bassam Mourad and Abdallah Assi},
journal= {arXiv preprint arXiv:2105.13356},
year = {2021}
}
Comments
15 pages