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Titlebook: Algebraic Multiplicity of Eigenvalues of Linear Operators; J. López-Gómez,C. Mora-Corral Book 2007 Birkhäuser Basel 2007 Eigenvalue.Matrix

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发表于 2025-3-21 17:15:58 | 显示全部楼层 |阅读模式
期刊全称Algebraic Multiplicity of Eigenvalues of Linear Operators
影响因子2023J. López-Gómez,C. Mora-Corral
视频video
发行地址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 e
学科分类Operator Theory: Advances and Applications
图书封面Titlebook: Algebraic Multiplicity of Eigenvalues of Linear Operators;  J. López-Gómez,C. Mora-Corral Book 2007 Birkhäuser Basel 2007 Eigenvalue.Matrix
影响因子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.
Pindex Book 2007
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N. Marchand,J.-P. Bailon,J. I. Dicksonppropriate definition of .(.) when . is an arbitrary function, as well as in studying the most important analytical properties of .(.). This chapter covers these issues for the special, but important, case when . is a certain holomorphic function and ..
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Fatigue Crack Initiation in Ironat . When . ∈ Eig., the point . is said to be an . of . if there exist . > 0 and . ≥ 1 such that, for each 0 < |. − .| < ., the operator . is an isomorphism and . The main goal of this chapter is to introduce the concept of algebraic multiplicity of . at any algebraic eigenvalue .. This algebraic mu
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Katarina Strbac,Branislav Milosavljevicralized eigenvectors, already studied in Section 1.3. It will provide us with a further approach to the algebraic multiplicities . and . introduced and analyzed in Chapters 4 and 5, respectively, whose axiomatization has already been accomplished through the uniqueness theorems included in Chapter 6
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The Jordan Theoremct sum of the ascent generalized eigenspaces associated with each of the eigenvalues of .. Then, by choosing an appropriate basis in each of the ascent generalized eigenspaces, the Jordan canonical form of . is constructed. These bases are chosen in order to attain a similar matrix to . with a maximum number of zeros.
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