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Medientyp:
E-Book
Titel:
Analytic Perturbation Theory for Matrices and Operators
Enthält:
Frontmatter -- Preface -- Contents -- Introduction -- 1. Finite-dimensional linear analysis -- 2. Spectral theory and Jordan structure of linear operators -- 3. Spectral theory of meromorphic operator-valued functions -- 4. Linear operators on linear spaces over commutative fields; first applications -- 5. Jordan structure of meromorphic operator-valued functions -- 6. Analytic perturbations -- 7. Reduction theory -- 8. Numerical analysis for perturbation series - convergence radii and error estimates -- 9. Polynomial operator-valued functions -- 10. Analytic perturbations in Banach spaces -- Supplement. Analytic perturbations for linear operators depending on several complex variables -- Appendix. Fundamentals of complex function theory and algebra -- Bibliography Articles -- Subject index