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portada algebraic multiplicity of eigenvalues of linear operators (in English)
Type
Physical Book
Author
Publisher
Year
2007
Language
English
Pages
310
Format
Hardcover
Dimensions
24.4 x 17.0 x 1.9 cm
Weight
0.73 kg.
ISBN
376438400x
ISBN13
9783764384005
Categories

algebraic multiplicity of eigenvalues of linear operators (in English)

Carlos Mora-Corral (Author) · Birkhauser · Hardcover

algebraic multiplicity of eigenvalues of linear operators (in English) - López-Gómez, Julián ; Mora-Corral, Carlos

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Synopsis "algebraic multiplicity of eigenvalues of linear operators (in English)"

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 multip

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