Isbn: 9783764384005 - algebraic multiplicity of eigenvalues of linear operators (operator theory: advances and applications, 177, band 177) (3 Ergebnisse)

Zustand: New. In English.

Zustand: New. 2007. Hardcover. . . . . . Books ship from the US and Ireland.

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.…