| 書目名稱 | Linear Functional Analysis |
| 編輯 | Bryan Patrick Rynne,Martin Alexander Youngson |
| 視頻video | http://file.papertrans.cn/587/586319/586319.mp4 |
| 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 |
| 叢書名稱 | Springer Undergraduate Mathematics Series |
| 圖書封面 |  |
| 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 |
| 關鍵詞 | 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 |
|Archiver|手機版|小黑屋|
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