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Monotone continuity of the spectral resolution and the eigenvalues. (English) Zbl 0448.47008

MSC:
47A55 Perturbation theory of linear operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
49R50 Variational methods for eigenvalues of operators (MSC2000)
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References:
[1] Weidmann, Lineare Operatoren in Hilbertr√§umen (1976) · Zbl 0344.47001
[2] Fans, Lecture Notes in Mathematics pp 433– (1976)
[3] Kato, Perturbation Theory for Linear Operators (1976) · Zbl 0342.47009 · doi:10.1007/978-3-642-66282-9
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