Reed, Michael; Simon, Barry 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 21 ReviewsCited in 3025 Documents 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 Keywords:Perturbation of Point Spectra; Spectral Analysis; Small Perturbations; Asymptotic Perturbation Theory; Summability Methods; Spectral Concentration; Resonances; Self-Adjoint Operator; Essential Spectrum; Schrödinger Operators; Positivity Preserving Operators; Compact Resolvent; Distribution of Eigenvalues Citations:Zbl 0242.46001; Zbl 0308.47002 × Cite Format Result Cite Review PDF