Homework 4

Due 10/31/19.

tags: 224a

0. Read RS Section I.4 on measure spaces and Lebesgue-Stieltjes integrals.
1. Consider the left shift operator
   $L(x_1,x_2,\dots )=L(x_2,x_3,\dots )$ on
   ${\ell }^2(\mathbb{N})$. Compute the point, continuous, and residual spectrum of
   $L$ and
   $R=L^{\ast }$.
2. Reed and Simon VI.10
3. Reed and Simon VI.11
4. Reed and Simon VII.3
5. Reed and Simon VII.8
6. Reed and Simon VII.9
7. Reed and Simon VII.12
8. Reed and Simon VII.14
9. Reed and Simon VII.17.