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The Spectral Theorem for Normal Operators

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Advanced Linear Algebra

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 135))

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Abstract

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.

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© 1992 Springer-Verlag Berlin Heidelberg

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Roman, S. (1992). The Spectral Theorem for Normal Operators. In: Advanced Linear Algebra. Graduate Texts in Mathematics, vol 135. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2178-2_11

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  • DOI: https://doi.org/10.1007/978-1-4757-2178-2_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2180-5

  • Online ISBN: 978-1-4757-2178-2

  • eBook Packages: Springer Book Archive

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