Duality of the matrix transpose and matrix conjugate inverse maps

• Main Author: Granario, Daryl Q.
• Format: text
• Published: Animo Repository 2022
• Subjects: Matrices; Hilbert space; Matrix inversion; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/11359
• Institution: De La Salle University

Choi (1973) established a duality between the inversion and ad- junction of bounded invertible Hilbert space operators, giving analo- gies between the similarity and congruence relations. We discuss Choi’s results in the finite-dimensional setting and show that a similar duality can be found between...