Open AccessAn analog of Thompson's triangle inequality in Euclidean Jordan algebras
Author(s) -
Jiyuan Tao
Publication year - 2021
Publication title -
the electronic journal of linear algebra
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 31
eISSN - 1537-9582
pISSN - 1081-3810
DOI - 10.13001/ela.2021.5585
Subject(s) - mathematics , euclidean geometry , jordan algebra , algebra over a field , euclidean distance , simple (philosophy) , inequality , pure mathematics , algebra representation , mathematical analysis , geometry , philosophy , epistemology
In a recent paper [Linear Algebra Appl., 461:92--122, 2014], Tao et al. proved an analog of Thompson's triangle inequality for a simple Euclidean Jordan algebra by using a case-by-case analysis. In this short note, we provide a direct proof that is valid on any Euclidean Jordan algebras.