Algebraic multiplicity of eigenvalues of linear operators /
General Material Designation
[Book]
First Statement of Responsibility
J. López-Gómez, C. Mora-Corral.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston :
Name of Publisher, Distributor, etc.
Birkhauser,
Date of Publication, Distribution, etc.
2007.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xxii, 310 pages)
SERIES
Series Title
Operator theory, advances and applications ;
Volume Designation
v. 177
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and aindex.
CONTENTS NOTE
Text of Note
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.
0
SUMMARY OR ABSTRACT
Text of Note
"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.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer
Stock Number
978-3-7643-8400-5
OTHER EDITION IN ANOTHER MEDIUM
Title
Algebraic multiplicity of eigenvalues of linear operators.