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Titlebook: Unbounded Self-adjoint Operators on Hilbert Space; Konrad Schmüdgen Textbook 2012 Springer Science+Business Media Dordrecht 2012 Banach sp

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Closed and Adjoint Operatorsrs that cover almost all interesting unbounded operators occurring in applications. The Hilbert space scalar product allows one to define the adjoint of a densely defined linear operator. Various characterizations of closed and closable operators and basic results on adjoint operators are derived. T
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The Spectrum of a Closed Operatorperator theory. In the first section, regular points and defect numbers of linear operators are defined and studied, and the Krasnoselskii–Krein theorem about the constancy of defect numbers on connected components of the regularity domain is proved. These results are used to derive basic properties
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