Title

Normality Properties of Composition Operators

Authors

Grace Weeks, Taylor UniversityFollow
Hallie Kaiser, Taylor UniversityFollow
Katy O'Malley, Taylor UniversityFollow

Document Type

Poster

Publication Date

4-23-2021

Abstract

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.

Notes

Poster also available as an additional file below.

Department: Mathematics

Recommended Citation

Weeks, Grace; Kaiser, Hallie; and O'Malley, Katy, "Normality Properties of Composition Operators" (2021). Celebration of Scholarship 2021. 9.
https://pillars.taylor.edu/cs2021/9