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Lecture 2: Bounded Linear Operators

MIT OpenCourseWare 34,012 2 years ago
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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=78vN4sO7FVU&list=PLUl4u3cNGP63micsJp_--fRAjZXPrQzW_&index=2 An extremely important example of a Banach space is the space of bounded linear operators. We introduce this space with the corresponding operator norm, allowing us to define the notion of a functional (the same “functional” in the title of the course)! 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.

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