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The Araki-Lieb-Thirring inequality and the Golden-Thompson inequality in Euclidean Jordan algebras
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-01-22 , DOI: 10.1080/03081087.2021.1873230 J. Tao 1 , G. Q. Wang 2 , L. Kong 3
中文翻译:
欧几里得乔丹代数中的Araki-Lieb-Thirring不等式和Golden-Thompson不等式
更新日期:2021-01-24
Linear and Multilinear Algebra ( IF 1.1 ) Pub Date : 2021-01-22 , DOI: 10.1080/03081087.2021.1873230 J. Tao 1 , G. Q. Wang 2 , L. Kong 3
Affiliation
ABSTRACT
Motivated by the Araki-Lieb-Thirring inequality for ( for ) for Hermitian positive semidefinite matrices and the Golden-Thompson inequality for Hermitian matrices, in this paper, we extend these inequalities to the setting of Euclidean Jordan algebras in the form for ( for ) for and for all a and b, where and denote, respectively, the quadratic representation and Jordan product of x and y in Euclidean Jordan algebras.
中文翻译:
欧几里得乔丹代数中的Araki-Lieb-Thirring不等式和Golden-Thompson不等式
摘要
由Araki-Lieb-Thirring不等式引起 对于 ( 对于 )对于Hermitian正半定矩阵和Golden-Thompson不等式 对于Hermitian矩阵,在本文中,我们将这些不等式扩展为Euclidean Jordan代数的形式,形式为 对于 ( 对于 ) 和 对于所有a和b,其中 和 分别表示欧几里得约旦代数中x和y的二次表示和约旦积。