We explore two main concepts in relation to truncated composition matrices: the conditions required for the binormal and commutative properties. Both of these topics are important in linear algebra due to their connection with diagonalization.
We begin with the normal solution before moving onto the more complex binormal solutions. Then we cover conditions for the composition matrix to commute with the general matrix. Finally, we end with ongoing questions for future work.
Weeks, Grace; Kaiser, Hallie; and O'Malley, Katy, "Normality Properties of Composition Operators" (2021). Celebration of Scholarship 2021. 9.