文件名称:
Functional Analysis(泛函权威写的泛函书，英文原版)
开发工具:
文件大小: 910kb
下载次数: 0
上传时间: 2009-07-31
详细说明： Preface v Chapter 0. Introduction 1 x0.1. Linear partial di erential equations 1 Chapter 1. A rst look at Banach and Hilbert spaces 5 x1.1. Warm up: Metric and topological spaces 5 x1.2. The Banach space of continuous functions 14 x1.3. The geometry of Hilbert spaces 19 x1.4. Completeness 24 x1.5. Bounded operators 25 Chapter 2. Hilbert spaces 29 x2.1. Orthonormal bases 29 x2.2. The projection theorem and the Riesz lemma 34 x2.3. Operators de ned via forms 35 x2.4. Orthogonal sums and tensor products 37 Chapter 3. Compact operators 41 x3.1. Compact operators 41 x3.2. The spectral theorem for compact symmetric operators 43 x3.3. Applications to Sturm{Liouville operators 46 x3.4. Fredholm theory for compact operators 49 Chapter 4. Almost everything about Lebesgue integration 55 x4.1. Borel measures in a nut shell 55 x4.2. Measurable functions 64 x4.3. Integration | Sum me up Henri 66 x4.4. Product measures 70 Chapter 5. The Lebesgue spaces Lp 75 x5.1. Functions almost everywhere 75 x5.2. Jensen Holder Minkowski 77 x5.3. Nothing missing in Lp 80 x5.4. Integral operators 83 Chapter 6. The main theorems about Banach spaces 87 x6.1. The Baire theorem and its consequences 87 x6.2. The Hahn{Banach theorem and its consequences 91 x6.3. Weak convergence 97 Chapter 7. The dual of Lp 103 x7.1. Decomposition of measures 103 x7.2. Complex measures 106 x7.3. The dual of Lp, p < 1 109 x7.4. The dual of L1 and the Riesz representation theorem 110 Chapter 8. Bounded linear operators 115 x8.1. Banach algebras 115 x8.2. The C algebra of operators and the spectral theorem 120 x8.3. The Stone{Weierstra theorem 124 Appendix A. Zorn's lemma 127 Bibliography 129 Glossary of notation 131 Index 133 ...展开收缩
(系统自动生成,下载前可以参看下载内容)
下载文件列表
相关说明
- 本站资源为会员上传分享交流与学习,如有侵犯您的权益,请联系我们删除.
- 本站是交换下载平台，提供交流渠道，下载内容来自于网络，除下载问题外，其它问题请自行百度。
- 本站已设置防盗链，请勿用迅雷、QQ旋风等多线程下载软件下载资源，下载后用WinRAR最新版进行解压.
- 如果您发现内容无法下载，请稍后再次尝试；或者到消费记录里找到下载记录反馈给我们.
- 下载后发现下载的内容跟说明不相乎，请到消费记录里找到下载记录反馈给我们，经确认后退回积分.
- 如下载前有疑问，可以通过点击"提供者"的名字，查看对方的联系方式，联系对方咨询.
