Téléchargez le livre : Infinite Matrices and their Finite Sections

Infinite Matrices and their Finite Sections

An Introduction to the Limit Operator Method
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Éditeur :

Birkhäuser

Collection : Frontiers in Mathematics

Paru le : 2006-11-10

In this book we are concerned with the study of a certain class of in?nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their ?nite truncations. Let us take these two properties as a starting point for the big picture that shall be prese...
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Description du livre

In this book we are concerned with the study of a certain class of in?nite matrices and two important properties of them: their Fredholmness and the stability of the approximation by their ?nite truncations. Let us take these two properties as a starting point for the big picture that shall be presented in what follows. Stability Fredholmness We think of our in?nite matrices as bounded linear operators on a Banach space E of two-sided in?nite sequences. Probably the simplest case to start with 2 +? is the space E = of all complex-valued sequences u=(u ) for which m m=?? 2 |u | is summable over m? Z. m Theclassofoperatorsweareinterestedinconsistsofthoseboundedandlinear operatorsonE whichcanbeapproximatedintheoperatornormbybandmatrices. We refer to them as band-dominated operators. Of course, these considerations 2 are not limited to the space E = . We will widen the selection of the underlying space E in three directions: p • We pass to the classical sequence spaces with 1? p??. n • Our elements u=(u )? E have indices m? Z rather than just m? Z. m • We allow values u in an arbitrary ?xed Banach spaceX rather than C.

À propos

Auteur
Marko Lindner
Éditeur
Birkhäuser
Collection
Frontiers in Mathematics
Parution
2006-11-10
Pages
191 pages
EAN papier
9783764377663

Auteur(s) du livre


Defaut-Illustration Marko Lindner

Caractéristiques détaillées - droits

EAN PDF
9783764377670
Prix
58,29 €
Nombre pages copiables
1
Nombre pages imprimables
19
Taille du fichier
1792 Ko
Ce livre est accessible aux handicaps informations d'accessibilité

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