Algebraic Multiplicity of Eigenvalues of Linear Operators: 177 - Rilegato
Libro 22 di 132: Operator Theory: Advances and Applications
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Dalla quarta di copertina
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).
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Algebraic Multiplicity of Eigenvalues of Linear Operators (Operator Theory: Advances and Applications, 177)
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Algebraic Multiplicity of Eigenvalues of Linear Operators (Operator Theory: Advances and Applications, 177)
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Algebraic Multiplicity of Eigenvalues of Linear Operators
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Springer, Basel, Birkhäuser Basel Jun 2007, 2007
ISBN 10: 376438400X
ISBN 13: 9783764384005
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 310 pp. Deutsch. Codice articolo 9783764384005
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Algebraic Multiplicity of Eigenvalues of Linear Operators
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduces readers to the classic theory with the most modern terminology, and, simultaneously, conducts readers comfortably to the latest developments in the theory of the algebraic multiplicity of eigenvalues of one-parameter families of Fredholm opera. Codice articolo 449594099
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Algebraic Multiplicity of Eigenvalues of Linear Operators
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Condizione: New. PRINT ON DEMAND pp. xxii + 310. Codice articolo 18304346
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Buch. Condizione: Neu. Algebraic Multiplicity of Eigenvalues of Linear Operators | Carlos Mora-Corral (u. a.) | Buch | xxii | Englisch | 2007 | Birkhäuser | EAN 9783764384005 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 112119493
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Algebraic Multiplicity of Eigenvalues of Linear Operators
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Birkhäuser Basel, Birkhäuser Basel Jun 2007, 2007
ISBN 10: 376438400X
ISBN 13: 9783764384005
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Buch. Condizione: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 336 pp. Englisch. Codice articolo 9783764384005
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783764384005
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