Algebraic multiplicity of eigenvalues of linear operators
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Viac o knihe
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.
Nákup knihy
Algebraic multiplicity of eigenvalues of linear operators, Julián López-Gómez
- Jazyk
- Rok vydania
- 2007
Doručenie
Platobné metódy
2021 2022 2023
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- Titul
- Algebraic multiplicity of eigenvalues of linear operators
- Jazyk
- anglicky
- Autori
- Julián López-Gómez
- Vydavateľ
- Birkhäuser
- Rok vydania
- 2007
- ISBN10
- 376438400X
- ISBN13
- 9783764384005
- Séria
- Operator theory
- Kategórie
- Matematika
- Anotácia
- 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.