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1. On an extension of Fu-Markham matrix theory result to simple Euclidean Jordan algebras.

Author

Zhong, Bo, Chen, Yongqiang, and Tao, Jiyuan

Subjects
*JORDAN algebras, *MATRICES (Mathematics), *MATHEMATICS theorems, *SCHUR complement, *ALGEBRA
Abstract

In matrix theory, Fu and Markham showed using majorization technique that if a Hermitian matrix satisfies certain conditions, then the matrix must be block-diagonal. In this paper, we extend this result to the setting of simple Euclidean Jordan algebras by using the Cauchy interlacing theorem and the Schur complement Cauchy interlacing theorem. [ABSTRACT FROM AUTHOR]

Published
2016
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