ENGLISH

Algebraic Multiplicity of Eigenvalues of Linear Operators

By J. Lopez-Gomez , C. Mora-Corral (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2007
DOI
10.1007/978-3-7643-8401-2
Language
english
Format
PDF
Filesize
2 MB (2372140 bytes)
Series
Operator Theory: Advances and Applications 177
Edition
1
Pages
310\324
Topic
Mathematics Algebra
Time added
2010-05-17 00:23:50
Functional Analysis; Linear and Multilinear AlgebrMatrix Theory; Mathematical Methods in Physics; Op

Description

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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