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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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| Auteurs principaux : | , |
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| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Algebraic Multiplicity of Eigenvalues of Linear Operators / J. López-Gómez, C. Mora-Corral. |
| Édition : | 1st ed. 2007. |
| Publié : |
Basel :
Birkhäuser Basel
, [20..] Cham : Springer Nature |
| Collection : | Operator theory (Online) ; 177 |
| Accès en ligne : |
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| Condition d'utilisation et de reproduction : | Conditions particulières de réutilisation pour les bénéficiaires des licences nationales : https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |
| Reproduction de : | Numérisation de l'édition de Basel ; Boston ; Berlin : Birkhäuser , cop.2007 |
| Contenu : | 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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| Documents associés : | Autre format:
Algebraic multiplicity of eigenvalues of linear operators Autre format: Algebraic Multiplicity of Eigenvalues of Linear Operators Autre format: Algebraic multiplicity of eigenvalues of linear operators |
| Résumé : | 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 presented in this monograph for the first time. Part I (the first three chapters) is a classic course on finite-dimensional spectral theory; Part II (the next eight chapters) contains the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families; and Part III (the last chapter) transfers these results from linear to nonlinear analysis. The text is as self-contained as possible. All the results are established in a finite-dimensional setting, if necessary. Furthermore, the structure and style of the book make it easy to access some of the most important and recent developments. Thus the material appeals to a broad audience, ranging from advanced undergraduates (in particular Part I) to graduates, postgraduates and researchers who will enjoy the latest developments in the real non-analytic case (Part II) |
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| ISBN : | 978-3-7643-8401-2 |
| DOI : | 10.1007/978-3-7643-8401-2 |