The Spectral Theorem for Normal Operators
The purpose of this chapter is to study the structure of certain special types of linear operators on an inner product space. In order to define these operators, we introduce another type of adjoint (different from the operator adjoint of Chapter 3). We will define this adjoint in the finite dimensional case only, deferring the infinite dimensional case to Chapter 13.
KeywordsNormal Operator Orthonormal Basis Orthogonal Projection Product Space Functional Calculus
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