Lecture 18: The Adjoint of a Bounded Linear Operator on a Hilbert Space
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Загружено: 2022-11-17
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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-in...
YouTube Playlist: • Lecture 18: The Adjoint of a Bounded Linea...
We define adjoint operators via the Riesz Representation theorem. This allows us to prove an analogue of the Rank-Nullity theorem for bounded linear operators. Then, we start exploring compact operators a little, which we will soon see are “almost matrices”.
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