Algebraic Multiplicity of Eigenvalues of Linear Operators
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.
| Autor: | López-Gómez, Julián Mora-Corral, Carlos |
|---|---|
| ISBN: | 9783764384005 |
| Sprache: | Englisch |
| Seitenzahl: | 310 |
| Produktart: | Gebunden |
| Verlag: | Springer Basel |
| Veröffentlicht: | 22.06.2007 |
| Schlagworte: | Eigenvalue Matrix Matrix Theory algebraic multiplicity spectral theory |