Sub plan on measure and integration theory

[Liu]

I will start my study of the book “real analysis” by Elias Stein and
Rami Shakarchi. This plan is about chapter 6 of this book. This
chapter includes materials on basic abstract measure theory and
integration theory. Section 5 is on ergodic theory on measurable
spaces. Section 6is about spectral theorem. Soon I will start my
systematically study of ergodic theory, another major theory I want to
go really further. (The other one is Szemeredi’s theory.)