18.102 | Spring 2021 | Undergraduate

Introduction to Functional Analysis

Lecture 19: Compact Subsets of a Hilbert Space and Finite-Rank Operators

Description: We show the connection between compact subsets of a Hilbert space and closed, bounded subsets with equi-small tails (a result analogous to the Arzela-Ascoli Theorem). Then, we define finite-rank operators and compact operators.

Instructor: Dr. Casey Rodriguez

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Spring 2021
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