Algebraic Multiplicity of Eigenvalues of Linear Operators

Part I.Finite-dimensional Classic Spectral Theory

1. The Jordan Theorem
2. Operator Calculus
3. Spectral Projections
Part II.Algebraic Multiplicities

4. Algebraic Multiplicity Through Transversalization
5. Algebraic Multiplicity Through Polynomial Factorization
6. Uniqueness of the Algebraic Multiplicity
7. Algebraic Multiplicity Through Jordan Chains. Smith Form
8. Analytic and Classical Families. Stability
9. Algebraic Multiplicity Through Logarithmic Residues
10. The Spectral Theorem for Matrix Polynomials
11. Further Developments of the Algebraic Multiplicity
Part III.Nonlinear Spectral Theory

12. Nonlinear Eigenvalues

DRM-restrictions

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Avainsanat: MATHEMATICS / General MAT000000