Functional analysis content, methods, and techniques

Author: Sun Qinghua
Publisher:
Publish Date: 2005-06-01
Features: This book is one of the series "Content, Methods, and Techniques of University Mathematics," and it is an excellent supplementary guide for learning functional analysis courses. The writing order of this book is synchronized with general functional analysis textbooks, covering three main parts: metric spaces, linear bounded operators, and the geometry of Hilbert spaces. Based on condensing knowledge and clarifying doubts, the book uses numerous and comprehensive examples to demonstrate, derive, and prove the concepts, relationships, and properties of metric spaces, normed linear spaces, linear operators and linear functionals, inner product spaces, various types of operators, and their spectral decompositions. This will greatly benefit readers in mastering the knowledge and methods of functional analysis. We hope this book can become your trusted teacher and helpful friend, and we welcome you to choose this series of books. The content of this book includes three main parts: metric spaces, linear bounded operators, and the geometry of Hilbert spaces.