《泛函分析引论/普通高等教育“十二五”规划教材》是数学系高年级本科生或工科研究生的泛函分析课程入门教材。全书主要内容有:度量空间、紧性、线性赋范空间、压缩映射原理、凸集与不动点、内积空间、线性算子和线性泛函的定义、Baire纲推理、开映像定理、线性泛函延拓定理、共轭空间、弱收敛、自反空间、Riesz定理及其应用、Lp的共轭空间、线性空间上的微分学、谱的概念和基本性质、紧算子及其谱性质、投影算子、自伴算子、正常算子和酉算子、Hilbert空间上的紧自伴算子、谱定理、解析泛函演算等。 每节后配有练习,书后配有名词索引。本书可作为相关课程教材,也可作为教师和研究人员的参考书。
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Seller: liu xing, Nanjing, JS, China
paperback. Condition: New. Paperback. Pub Date :2014-03-01 Pages: 169 Language: Chinese Publisher: China Machine Press. Introduction to Functional Analysis higher education Twelfth Five-Year Plan textbook is a senior undergraduate mathematics or engineering graduate Functional Analysis Course introductory textbook. The main contents of the book are: metric spaces. compactness. linear normed spaces. contraction mapping principle. the definition of convex sets and fixed point. inner product spaces. linear operators and l. Seller Inventory # BX068693