泛函分析讲义
许全华, 马涛, 尹智How much do you like this book?
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《泛函分析讲义》系统讲授泛函分析的基本内容,共分为11章。全书内容形成一个有层次感、节奏明快的体系,按章节顺序,分别讲解点集拓扑基础知识、度量空间的完备性和紧性理论、赋范空间理论、Hilbert空间理论、函数空间理论(主要涉及Ascoh定理和Stone-Weierstrass定理)、Baire定理及其应用(包括Banach-Steinhaus定理以及开映射和闭图像定理等泛函分析中基本的定理)、Hahn-Banach定理(在该部分也介绍弱拓扑和弱拓扑的概念与相应理论)、Banach空间的对偶理论、正则Borel测度和Riesz表示定理、紧算子的谱理论。
《泛函分析讲义》内容主题特别明确,各章篇幅简练、理论完备。并且,《泛函分析讲义》提供的习题从内容到形式也极具特色,部分习题反映了近期理论研究的热点问题。
《泛函分析讲义》内容主题特别明确,各章篇幅简练、理论完备。并且,《泛函分析讲义》提供的习题从内容到形式也极具特色,部分习题反映了近期理论研究的热点问题。
Categories:
Year:
2017
Publisher:
高等教育出版社
Language:
chinese
ISBN 10:
7040474565
ISBN 13:
9787040474565
File:
PDF, 12.15 MB
Your tags:
IPFS:
CID , CID Blake2b
chinese, 2017
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