{"product_id":"9783764377663","title":"Frontiers in Mathematics: An Introduction to the Limit Operator Method","description":"\u003ch1\u003eFrontiers in Mathematics: An Introduction to the Limit Operator Method\u003c\/h1\u003e \u003ch2\u003eLindner, Marko\u003c\/h2\u003e \u003cp\u003eIn 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2006-08-16\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783764377663\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-7643-7767-0\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x170cm\u003c\/p\u003e \u003cp\u003ePages: 191\u003c\/p\u003e ","brand":"Birkhäuser Basel","offers":[{"title":"Default Title","offer_id":46539677073548,"sku":"9783764377663","price":53.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783764377663.jpg?v=1775678361","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783764377663","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}