Abstract
The Fiedler's determinantal inequality stated by M. Fiedler in [5] (1971) provides bounds for the determinant of the sum of two Hermitian matrices. In this note, we extend the Fiedler's result to Euclidean Jordan algebras. In our proof, we use the commutation principle for variational problems which was recently introduced in these algebras. As an application, we obtain some Minkowski-type determinantal inequalities in Euclidean Jordan algebras.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
