A partial ordering approach to characterize properties of a pair of orthogonal projectors

• Published in: Indian journal of pure and applied mathematics Vol. 52; no. 2; pp. 323 - 334
• Main Authors: Baksalary, Oskar Maria, Trenkler, Götz
• Format: Journal Article
• Language: English
• Published: New Delhi Indian National Science Academy 01.06.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Diamonds; Mathematics; Mathematics and Statistics; Numerical Analysis; Original Research; Projectors; Commutativity; Partitioned matrix; 15A27; 15B57; Hermitian idempotent matrix; Generalized inverse; 15A09

It is known that within the set of orthogonal projectors (Hermitian idempotent matrices) certain matrix partial orderings coincide in the sense that when two orthogonal projectors are ordered with respect to one of the orderings, then they are also ordered with respect to the others. This concerns,...