Engr207c: Operator Theory and Linear Systems

Lecture notes

1. Vector Spaces and Norms

2. The Peak-Induced Norm

3. Convergence

4. Fourier Series

5. Toeplitz Operators

6. Products and Inverses of Toeplitz Operators

7. Spectral Factorization

8. Smith-MacMillan Form

9. Realization Theory

10. Factorization