18.102 | Spring 2021 | Undergraduate

Introduction to Functional Analysis

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

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

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Spring 2021
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