MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 17: Minimizers, Orthogonal Complements and the Riesz Representation Theorem

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=KcI2_r51Eb8&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=17 We move back to the general theory of Hilbert spaces with applications to concrete problems, discussing minimizers, orthogonal decomposition, projections, and one of the most fundamental “existence and uniqueness” results, the Riesz Representation Theorem! 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.