Abstract
This Supplement contains complete proofs of the greater part of the mathematical theorems used in the main text. In §1 the spectral theorem for self-adjoint operators in Hilbert space is proved and important applications of it are given. In §2 generalized eigenfunctions are considered. In §3 we give the necessary information on variational principles and perturbation theory. In §4 we give an outline of the theory of trace class (or nuclear) operators. Tensor products of Hilbert spaces are treated in §5.
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© 1991 Springer Science+Business Media Dordrecht
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Berezin, F.A., Shubin, M.A. (1991). Spectral Theory of Operators in Hilbert Space. In: The Schrödinger Equation. Mathematics and Its Applications (Soviet Series), vol 66. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3154-4_6
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DOI: https://doi.org/10.1007/978-94-011-3154-4_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5391-4
Online ISBN: 978-94-011-3154-4
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