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lgli/M_Mathematics/MC_Calculus/MCf_Functional analysis/Lopez-Gomez J., Mora-Corral C. Algebraic multiplicity of eigenvalues of linear operators (Birkhauser, 2007)(ISBN 376438400X)(324s)_MCf_.pdf
Algebraic Multiplicity of Eigenvalues of Linear Operators (Operator Theory: Advances and Applications, 177) 🔍
Julián López-Gómez, Carlos Mora-Corral Birkhäuser Basel, Operator Theory: Advances and Applications, Operator theory, advances and applications 177, 1, 2007
English [en] · PDF · 1.6MB · 2007 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
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).
Alternative filename
lgrsnf/M_Mathematics/MC_Calculus/MCf_Functional analysis/Lopez-Gomez J., Mora-Corral C. Algebraic multiplicity of eigenvalues of linear operators (Birkhauser, 2007)(ISBN 376438400X)(324s)_MCf_.pdf
Alternative filename
nexusstc/Algebraic Multiplicity of Eigenvalues of Linear Operators/cd2cfe2a707f72e37dab8da218d76d0b.pdf
Alternative filename
scihub/10.1007/978-3-7643-8401-2.pdf
Alternative author
López-Gómez, Julián, Mora-Corral, Carlos
Alternative author
J. López-Gómez, C. Mora-Corral (auth.)
Alternative publisher
Birkhäuser GmbH
Alternative publisher
Springer Basel
Alternative publisher
Birkhauser
Alternative edition
Operator theory, advances and applications -- v. 177, Basel, Boston, Switzerland, 2007
Alternative edition
Operator theory : advances and applications, Basel, cop. 2007
Alternative edition
Germany, Germany
metadata comments
Kolxo3 -- 22
metadata comments
lg6956
metadata comments
{"container_title":"Operator Theory: Advances and Applications","edition":"1","isbns":["376438400X","9783764384005"],"last_page":324,"publisher":"Birkhäuser Basel","series":"Operator theory, advances and applications 177"}
metadata comments
Includes bibliographic references (p. [295]-302) and index.
Alternative description
This book analyzes the existence and uniqueness of a generalized algebraic m- tiplicity for a general one-parameter family L of bounded linear operators with Fredholm index zero at a value of the parameter ? whereL(? ) is non-invertible. 0 0 Precisely, given K?{R,C}, two Banach spaces U and V over K, an open subset ? ? K,andapoint ? ? ?, our admissible operator families are the maps 0 r L?C (? ,L(U,V)) (1) for some r? N, such that L(? )? Fred (U,V); 0 0 hereL(U,V) stands for the space of linear continuous operatorsfrom U to V,and Fred (U,V) is its subset consisting of all Fredholm operators of index zero. From 0 the point of view of its novelty, the main achievements of this book are reached in case K = R, since in the case K = C and r = 1, most of its contents are classic, except for the axiomatization theorem of the multiplicity.
Erscheinungsdatum: 22.06.2007
Alternative description
"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
Alternative description
This book brings together all available results about the theory of algebraic multiplicities, from the most classic results, like the Jordan Theorem, to the most recent developments, like the uniqueness theorem and the construction of the multiplicity for non-analytic families. Part I (first three chapters) is a classic course on finite-dimensional spectral theory, Part II (the next eight chapters) presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families, and Part III (last chapter) transfers these results from linear to nonlinear analysis. The text is as self-contained as possible and suitable for students at the advanced undergraduate or beginning graduate level.
Alternative description
This Book Brings Together All Available Results About The Theory Of Algebraic Multiplicities. It First Offers A Classic Course On Finite-dimensional Spectral Theory And Then Presents The Most General Results Available About The Existence And Uniqueness Of Algebraic Multiplicities For Real Non-analytic Operator Matrices And Families. Coverage Next Transfers These Results From Linear To Nonlinear Analysis.
date open sourced
2009-07-20
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