MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 13: Lp Space Theory

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=BYR1fXW95zY&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=13 We introduce L^p spaces and the corresponding L^p norms, which are essentially the completion of the normed space of continuous functions under the L^p norm (see the exercises). We then move on to our third unit of the course: Hilbert space theory. 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.