Schur-Horn theorem and Ky Fan's minimum principle for symplectic eigenvalues
Functional Analysis
2026-02-25 v1 Rings and Algebras
Abstract
The symplectic analogues of Schur's theorem and Ky Fan's minimum principle are shown to be equivalent. Moreover, the symplectic Schur's and Horn's theorems are extended to generalized means.
Cite
@article{arxiv.2602.20753,
title = {Schur-Horn theorem and Ky Fan's minimum principle for symplectic eigenvalues},
author = {Kennett L. Dela Rosa and Aedan Jarrod A. Potot},
journal= {arXiv preprint arXiv:2602.20753},
year = {2026}
}