Abstract
In the present chapter, we will consider the spectral theorem for bounded self-adjoint operators, leaving a discussion of unbounded operators to Chaps. 9 and 10. The proofs of the main theorems (two different versions of the spectral theorem) are moderately long and are deferred to Chap. 8.
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References
A. Gut, Probability: A Graduate Course (Springer, New York, 2005)
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Hall, B.C. (2013). The Spectral Theorem for Bounded Self-Adjoint Operators: Statements. In: Quantum Theory for Mathematicians. Graduate Texts in Mathematics, vol 267. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7116-5_7
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DOI: https://doi.org/10.1007/978-1-4614-7116-5_7
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