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Methods of modern mathematical physics. IV: Analysis of operators. (English) Zbl 0401.47001

New York - San Francisco - London: Academic Press. XV, 396 p. $ 34.00; £22.10 (1978).

MSC:

47-02 Research exposition (monographs, survey articles) pertaining to operator theory
47A10 Spectrum, resolvent
47A55 Perturbation theory of linear operators
47B60 Linear operators on ordered spaces
47B25 Linear symmetric and selfadjoint operators (unbounded)
35J10 Schrödinger operator, Schrödinger equation
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
47B06 Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
81Q15 Perturbation theories for operators and differential equations in quantum theory
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
81V70 Many-body theory; quantum Hall effect
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
35P20 Asymptotic distributions of eigenvalues in context of PDEs
34L99 Ordinary differential operators