A Course in Functional Analysis

A Course in Functional Analysis
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DOI:
10.2307/3618662
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发表时间:
1991-12
期刊:
The Mathematical Gazette
影响因子:
--
通讯作者:
D. Whittaker
D. Whittaker
中科院分区:
其他
文献类型:
--
作者:
D. Whittaker

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这本书是一个介绍性的文本在功能分析,针对研究生与坚实的背景,在整合和措施理论。与许多现代治疗方法不同,这本书从特殊开始,并以更普遍的方式工作,帮助学生发展对主题的直观感受。例如,作者介绍了概念的Banach空间后,才介绍了希尔伯特空间,并讨论其性质。学生也会欣赏大量的例子和练习已经包括在内。
This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.