18.102 Introduction to Functional Analysis, Spring 2021 (lecture notes) by Andrew Lin / Lecture 12: Lebesgue Integrable Functions, the Lebesgue Integral and the Dominated Convergence Theorem

Online text: ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/e407e57ea631a29148ee94afecef7d33_MIT18_102s21_lec12.pdf

The course notes page attributes 2021 student notes to Andrew Lin and identifies Casey Rodriguez as instructor; the individual PDF has no author byline.

Cited passages: Lecture 12, Definition 120, Proposition 123(2), Remark 124 and Theorem 126; Lecture 12, printed page 59, Definitions 120–121 and Proposition 122.

Cited passages: MIT 18.102 lecture 12, Proposition 122: linearity for integrable functions.