Algebraic multiplicity of eigenvalues of linear operators
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 pres...
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| Format: | eBook |
| Language: | Inglés |
| Published: |
Basel ; Boston :
Birkhauser
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Operator theory, advances and applications ;
v. 177. |
| Subjects: | |
| See on Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461657306719 |
| Summary: | 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 researchers who will enjoy the latest developments in the real non-analytic case (Part II). |
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| Item Description: | Description based upon print version of record. |
| Physical Description: | 1 online resource (330 p.) |
| Bibliography: | Includes bibliographic references (p. [295]-302) and aindex. |
| ISBN: | 9781281044143 9786611044145 9783764384012 |
