Operator Theory: Advances and Applications

Algebraic Multiplicity of Eigenvalues of Linear Operators

Authors: López-Gómez, Julián, Mora-Corral, Carlos

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  • Introduces the classic theory with modern terminology
  • Details the latest developments in the theory of the algebraic multiplicity of eigenvalues of one-parameter families of Fredholm operators of index zero
  • Makes accessible the latest developments in the real non-analytic case, where optimal results are included for the first time in a monograph
  • Recent results presented include the uniqueness of the algebraic multiplicity, which has important implications
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About this book

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).

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $129.00
price for USA in USD
  • ISBN 978-3-7643-8401-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA in USD
  • ISBN 978-3-7643-8400-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Multiplicity of Eigenvalues of Linear Operators
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
177
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8401-2
DOI
10.1007/978-3-7643-8401-2
Hardcover ISBN
978-3-7643-8400-5
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XXII, 310
Topics