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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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Bibliographic Details
Main Authors: López-Gómez, Julián, Mora-Corral, Carlos (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2007, 2007
Edition:1st ed. 2007
Series:Operator Theory: Advances and Applications
Subjects:
Functional Analysis
Linear Algebra
Operator Theory
Mathematical Physics
Algebras, Linear
Mathematical Methods In Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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