Abstract
Let ℋ be a complex separable Hilbert space, ε the collection of orthogonal projections in ℋ, and (X, Ɓ) a Borel space. A function E : Ɓ → ε is called a spectral measure if E(X) = I and E(∪ ∞i=1 A i ) = Σ ∞i=1 (A i ), for any pairwise disjoint collection A1, A2, A3, …, of sets in Ɓ.
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© 1998 Hindustan Book Agency
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Nadkarni, M.G. (1998). The Hahn-Hellinger Theorem. In: Spectral Theory of Dynamical Systems. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-93-9_1
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DOI: https://doi.org/10.1007/978-93-80250-93-9_1
Publisher Name: Hindustan Book Agency, Gurgaon
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