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Lecture 20: Compact Operators and the Spectrum of a Bounded Linear Operator on a Hilbert Space

Автор: MIT OpenCourseWare

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 20: Compact Operators and the Spec...  

We show that compact operators are precisely limits of finite-rank operators. Then, we define invertible linear operators and begin exploring our final unit of the course: spectral theory for bounded linear operators.

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Lecture 20: Compact Operators and the Spectrum of a Bounded Linear Operator on a Hilbert Space

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