The Spectral Theorem for Normal Operators

  • Steven Roman
Part of the Graduate Texts in Mathematics book series (GTM, volume 135)


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.


Normal Operator Orthonormal Basis Orthogonal Projection Product Space Functional Calculus 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Steven Roman
    • 1
  1. 1.Department of MathematicsCalifornia State University at FullertonFullertonUSA

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