عنوان

Algebraic multiplicity of eigenvalues of linear operators /

376438400X

3764384018

9783764384005

9783764384012

b786608

Algebraic multiplicity of eigenvalues of linear operators /

[Book]

J. López-Gómez, C. Mora-Corral.

Boston :

Birkhauser,

2007.

1 online resource (xxii, 310 pages)

Operator theory, advances and applications ;

v. 177

Includes bibliographical references and aindex.

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

"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.

Springer

978-3-7643-8400-5

Algebraic multiplicity of eigenvalues of linear operators.

9783764384005

Spectral theory (Mathematics)

Spectre (Mathématiques)

MATHEMATICS-- Functional Analysis.

Spectral theory (Mathematics)

Spectral theory (Mathematics)

MAT-- 037000

PBKF

López-Gómez, Julián.

Mora-Corral, C., (Carlos)

20201207002200.0

pn

[Book]

Y