Algebraic Multiplicity of Eigenvalues of Linear Operators

• Κύριοι συγγραφείς: López-Gómez, J. (Συγγραφέας), Mora-Corral, C. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2007.
• Σειρά: Operator Theory: Advances and Applications ; 177
• Θέματα: Mathematics.; Matrix theory.; Algebra.; Functional analysis.; Operator theory.; Physics.; Functional Analysis.; Linear and Multilinear Algebras, Matrix Theory.; Mathematical Methods in Physics.; Operator Theory.

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...

Πίνακας περιεχομένων:

• 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.