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HomeMIT 18.102 Introduction to Functional Analysis, Spring 2021Lecture 18: The Adjoint of a Bounded Linear Operator on a Hilbert Space

Lecture 18: The Adjoint of a Bounded Linear Operator on a Hilbert Space

1:12:18

Description: 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”.

Instructor: Dr. Casey Rodriguez