The concept of unitary elements play an important role in a complex vector space; for instance, unitary matrices are powerful tool on algorithm in numerical matrix analysis and computing eigenvalues. However, the characterization of unitary elements in a real vector space is not observable. In this project, we consider the complexification of a Euclidean Jordan algebra equipped with the inner product induced by the inner product in its real form. The Jordan product on a Euclidean Jordan algebra gives a bilinear map on a real vector space, we extend the bilinear map to study unitary concept and its applications.
|Effective start/end date||2020/08/01 → 2021/07/31|
- Unitary elements
- second-order cone
- complexification of Euclidean Jordan algebra
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