The Spectral Theorem for Bounded Self-Adjoint Operators: Statements
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.
KeywordsHilbert Space Functional Calculus Separable Hilbert Space Spectral Theorem Generalize Eigenvector
- .A. Gut, Probability: A Graduate Course (Springer, New York, 2005)Google Scholar