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HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 20: Compact Operators and the Spectrum of a Bounded Linear Operator on a Hilbert Space

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

1:22:25

Description: 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.

Instructor: Dr. Casey Rodriguez