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Algebraic Multiplicity of Eigenvalues of Linear Operators

This book brings together all the most important known results of research into the theory of algebraic multiplicities, from well-known classics like the Jordan Theorem to recent developments such as the uniqueness theorem and the construction of multiplicity for non-analytic families, which is pres...

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Main Authors: López-Gómez, Julián. (Author, http://id.loc.gov/vocabulary/relators/aut), Mora-Corral, Carlos. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Operator Theory: Advances and Applications, 177
Subjects:
Functional analysis.
Matrix theory.
Algebra.
Physics.
Operator theory.
Functional Analysis.
Linear and Multilinear Algebras, Matrix Theory.
Mathematical Methods in Physics.
Operator Theory.
Online Access:https://doi.org/10.1007/978-3-7643-8401-2
Table of Contents:
  • Finite-dimensional Classic Spectral Theory
  • The Jordan Theorem
  • Operator Calculus
  • Spectral Projections
  • Algebraic Multiplicities
  • Algebraic Multiplicity Through Transversalization
  • Algebraic Multiplicity Through Polynomial Factorization
  • Uniqueness of the Algebraic Multiplicity
  • Algebraic Multiplicity Through Jordan Chains. Smith Form
  • Analytic and Classical Families. Stability
  • Algebraic Multiplicity Through Logarithmic Residues
  • The Spectral Theorem for Matrix Polynomials
  • Further Developments of the Algebraic Multiplicity
  • Nonlinear Spectral Theory
  • Nonlinear Eigenvalues.

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