Majorization in some symplectic weak supermajorizations
Functional Analysis
2024-09-02 v2 Mathematical Physics
math.MP
Symplectic Geometry
Spectral Theory
Quantum Physics
Abstract
Symplectic eigenvalues are known to satisfy analogs of several classic eigenvalue inequalities. Of these is a set of weak supermajorization relations concerning symplectic eigenvalues that are weaker analogs of some majorization relations corresponding to eigenvalues. The aim of this letter is to establish necessary and sufficient conditions for the saturation of the symplectic weak supermajorization relations by majorization.
Cite
@article{arxiv.2404.05795,
title = {Majorization in some symplectic weak supermajorizations},
author = {Shaowu Huang and Hemant K. Mishra},
journal= {arXiv preprint arXiv:2404.05795},
year = {2024}
}
Comments
8 pages, The old version had some typos that are corrected in the new version. The typos were in Eq.(1.14) and Eq.(1.23). Also, proof of Corollary 1.5 is added in the new version. Accepted in Linear Algebra and its Applications. June 2024