Abstract
In this chapter, we will develop part of the theory of not necessarily bounded linear functions in a Hilbert space, aiming to determine the norm of the inverse of some selfadjoint operators, which will be needed in future chapters.
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Bibliography
G. Helmberg, Introduction to Spectral Theory in Hilbert Space, North-Holland, Amsterdam, 1969.
F. Riesz and B.S. Nagy, Leçons d’analyse fonctionnelle, Akademiai Kiado, Budapest, 1952.
J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932.
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Fonda, A. (2016). Operators in Hilbert Spaces. In: Playing Around Resonance. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-47090-0_2
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DOI: https://doi.org/10.1007/978-3-319-47090-0_2
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-47089-4
Online ISBN: 978-3-319-47090-0
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