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03565nam a22005295i 4500 |
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|a 9783764384012
|9 978-3-7643-8401-2
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|a 10.1007/978-3-7643-8401-2
|2 doi
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|a QA319-329.9
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|a MAT037000
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|a 515.7
|2 23
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|a López-Gómez, J.
|e author.
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|a Algebraic Multiplicity of Eigenvalues of Linear Operators
|h [electronic resource] /
|c by J. López-Gómez, C. Mora-Corral.
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|a Basel :
|b Birkhäuser Basel,
|c 2007.
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|a XXII, 310 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Operator Theory: Advances and Applications ;
|v 177
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|a 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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|a 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 reseachers who will enjoy the latest developments in the real non-analytic case (Part II).
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|a Mathematics.
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|a Matrix theory.
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|a Algebra.
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|a Functional analysis.
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|a Operator theory.
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|a Physics.
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|a Mathematics.
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|a Functional Analysis.
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|a Linear and Multilinear Algebras, Matrix Theory.
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|a Mathematical Methods in Physics.
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|a Operator Theory.
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|a Mora-Corral, C.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783764384005
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|a Operator Theory: Advances and Applications ;
|v 177
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|u http://dx.doi.org/10.1007/978-3-7643-8401-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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