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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Detalles Bibliográficos
Autor principal: Lopez-Gomez, Julian (-)
Otros Autores: Mora-Corral, C. (Carlos)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel ; Boston : Birkhauser 2007.
Edición:1st ed. 2007.
Colección:Operator theory, advances and applications ; v. 177.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461657306719
Tabla de Contenidos:
  • 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.