MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 9: Lebesgue Measurable Functions

MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=ETmIxkbTm3I&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=9 Now that we know what the Lebesgue measure is, we begin exploring Lebesgue measurable functions and properties thereof. This allows us to define the notion of “almost everywhere”, a ubiquitous concept in integration. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.