Abstract
A discussion of the spectral theorem for self-adjoint operators is presented, including details of the resolution of the identity and functions of self-adjoint operators. Although a complete proof of this theorem for a given operator is not presented, different approaches to the proof are indicated. Spectral measures of some simple examples are discussed. Chapter 9 is devoted to some consequences of the spectral theorem. A denotes the σ-algebra of Borel sets in ℝ.
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© 2009 Birkhäuser Verlag AG
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(2009). Spectral Theorem. In: Intermediate Spectral Theory and Quantum Dynamics. Progress in Mathematical Physics, vol 54. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8795-2_9
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DOI: https://doi.org/10.1007/978-3-7643-8795-2_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8794-5
Online ISBN: 978-3-7643-8795-2
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