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Algebraic Multiplicity of Eigenvalues of Linear Operators on Hardback by Julian Lopez-Gomez
Algebraic Multiplicity of Eigenvalues of Linear Operators on Hardback by Julian Lopez-Gomez
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Algebraic Multiplicity of Eigenvalues of Linear Operators

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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.
Release date NZ
June 22nd, 2007
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
  • Undergraduate
Illustrations
XXII, 310 p.
Pages
310
ISBN-13
9783764384005
Product ID
2041973

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