| Document Type
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BL
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| Record Number
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1032238
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| Doc. No
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b786608
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| Main Entry
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López-Gómez, Julián.
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| Title & Author
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Algebraic multiplicity of eigenvalues of linear operators /\ J. López-Gómez, C. Mora-Corral.
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| Publication Statement
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Basel ;Boston :: Birkhauser,, 2007.
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| Series Statement
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Operator theory, advances and applications ;; v. 177
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| Page. NO
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1 online resource (xxii, 310 pages)
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| ISBN
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376438400X
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: 3764384018
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: 9783764384005
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: 9783764384012
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| Bibliographies/Indexes
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Includes bibliographical references and aindex.
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| Contents
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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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| Abstract
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"This book brings together all the most important known results of research into the theory of algebraic multiplicities, from 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." "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 III)."--Jacket.
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| Subject
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Spectral theory (Mathematics)
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| Subject
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Spectre (Mathématiques)
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MATHEMATICS-- Functional Analysis.
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| Subject
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Spectral theory (Mathematics)
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| Subject
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Spectral theory (Mathematics)
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| Dewey Classification
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515/.7222
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| LC Classification
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QC20.7.S64L66 2007eb
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| NLM classification
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31.46bcl
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O177. 7clc
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| Added Entry
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Mora-Corral, C., (Carlos)
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