MIT 18.102 Introduction to Functional Analysis, Spring 2021 - Lecture 14: Basic Hilbert 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=EBdgFFf54U0&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=14 Last time we discussed pre-Hilbert spaces (Hilbert spaces’ little brothers), and now we define Hilbert spaces (what pre-Hilbert spaces really want to be). With the notion of an inner product, we define analogous linear algebra tools for functional analysis. 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.