Open AccessAn analog of Thompson's triangle inequality in Euclidean Jordan algebras
Author(s) -
Jiyuan Tao
Publication year - 2021
Publication title -
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom