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<p>We discuss the notion of group weak supermajorisation analogous to group majorisation, and study some of its fundamental properties. This is applied to derive relationships for symplectic eigenvalues of positive definite matrices. In particular, a symplectic analogue of von Neumann’s trace inequality is obtained.</p>

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Group supermajorisation, symplectic eigenvalues and the von Neumann trace inequality

  • 期刊论文

  • 发表日期：

    2026年7月16日

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  • Tanvi Jain

摘要

We discuss the notion of group weak supermajorisation analogous to group majorisation, and study some of its fundamental properties. This is applied to derive relationships for symplectic eigenvalues of positive definite matrices. In particular, a symplectic analogue of von Neumann’s trace inequality is obtained.