MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 10: Simple 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=TXMCTAF6SEE&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=10 We define simple functions: the basic building blocks for the Lebesgue integral. We then prove some basic properties of the Lebesgue integral for simple functions, which we use next time to extend integration to certain measurable functions. 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.