Ballantine's theorem on Sp(2n, C)

• Main Author: Granario, Daryl Q.
• Format: text
• Published: Animo Repository 2012
• Subjects: Positive-definite functions; Symplectic groups; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/11356
• Institution: De La Salle University

Among normal matrices, positive definite matrices or positive semidefinite matrices are important. Any product of two positive definite (semidefinite) matrices is diagonalizable and has positive (nonnegative) eigenvalues so such products do not fill up Mn(C) or GL(n, C), the group of n × n nonsingul...