Infinite matrices and their finite sections : an introduction to the limit operator method
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...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Basel :
Birkhäuser Basel
2006.
Cham : Springer Nature |
| Series: | Frontiers in Mathematics
|
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Infinite Matrices and their Finite Sections, Texte imprimé, 9783764391539 • Infinite Matrices and their Finite Sections, Texte imprimé, 9783764377663 |
| LEADER | 03273nam a22003857a 4500 | ||
|---|---|---|---|
| 001 | 938701 | ||
| 008 | 080410s2006 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN123140986 | ||
| 020 | |a 9783764377670 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.7 | ||
| 084 | |a 47B38. 2000 | ||
| 084 | |a 47L10. 2000 | ||
| 084 | |a 65J10. 2000 | ||
| 100 | 1 | |a Lindner, Marko, |d 1973- | |
| 245 | 1 | 0 | |a Infinite matrices and their finite sections : |b an introduction to the limit operator method |c by Marko Lindner. |
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c 2006. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Preliminaries -- Invertibility at Infinity -- Limit Operators -- Stability of the Finite Section Method. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Opérateurs linéaires | ||
| 776 | 0 | |t Infinite Matrices and their Finite Sections |b Texte imprimé |z 9783764391539 | |
| 776 | 0 | |t Infinite Matrices and their Finite Sections |b Texte imprimé |z 9783764377663 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-7767-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-5ZCXLZJ1-0 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747896151 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-7767-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750909153 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-7767-0 |z Accès INSA CVL | |
| 997 | |0 938701 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||