| 书目名称 | Infinite Matrices and their Finite Sections |
| 副标题 | An Introduction to t |
| 编辑 | Marko Lindner |
| 视频video | |
| 概述 | A fascinating topic at the interface of functional analysis, algebra and numerical analysis.Presents a recently developed and powerful tool for the understanding of the connection between large finite |
| 丛书名称 | Frontiers in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2006 |
| 关键词 | Matrix; Operator theory; Schrödinger operator; band-dominated matrix; functional analysis; limit operator |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-7643-7767-0 |
| isbn_softcover | 978-3-7643-7766-3 |
| isbn_ebook | 978-3-7643-7767-0Series ISSN 1660-8046 Series E-ISSN 1660-8054 |
| issn_series | 1660-8046 |
| copyright | Birkhäuser Basel 2006 |
发表于 2025-3-21 16:10:57
