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HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 11: The Lebesgue Integral of a Nonnegative Function and Convergence Theorems

Lecture 11: The Lebesgue Integral of a Nonnegative Function and Convergence Theorems

1:21:38

Description: We define the Lebesgue integral for non-negative functions via a limiting process involving simple functions. We then prove two fundamental results of Lebesgue integration: the Monotone Convergence Theorem and Fatou’s Lemma.

Instructor: Dr. Casey Rodriguez