On perturbation bounds of eigenvalues in Euclidean Jordan Algebras

Abstract

In matrix theory, C.-K. Li and R.-C. Li gave the best bound of the difference between eigenvalues of a real/complex Hermitian matrix and the matrix after removing off-diagonal blocks. In this paper, we extend this result to the setting of simple Euclidean Jordan Algebras.

Keywords:

• Euclidean Jordan algebra
• Cauchy interlacing theorem
• quaternions
• octonions

AMS Subject Classifications:

• 15A33
• 17C20
• 17C55