| 书目名称 | Linear Functional Analysis |
| 编辑 | Bryan Patrick Rynne,Martin Alexander Youngson |
| 视频video | |
| 概述 | A new chapter on the Hahn-Banach theorem and extended material of the uniform boundedness theorem complete the coverage and make the book even more suitable for an introductory course on functional an |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vec |
| 出版日期 | Textbook 20001st edition |
| 关键词 | Analysis; Hilbert space; Linear Algebra; Operator theory; calculus; differential equation; functional anal |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4471-3655-2 |
| isbn_ebook | 978-1-4471-3655-2Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer-Verlag London 2000 |
发表于 2025-3-21 17:23:09
