Simple Functional Analysis

Author: Luo Yuesheng, Du Weihua (editors)
Publisher:
Publish Date: 2002-04-01
Features: The book is divided into 3 chapters.
Chapter 1: Space – Introduces the concepts and basic properties of metric spaces, normed linear spaces, and inner product spaces.
Chapter 2: Linear Operators and Linear Functionals – Introduces the concepts and properties of linear operators and linear functionals, and discusses the fundamental theorems of linear operators, conjugate spaces, and the spectral theory of operators. Many examples of applications are provided for important theorems.
Chapter 3 – Introduces the concept of generalized functions and discusses their simple operations and properties.
This book aims to be easy to understand, enabling readers to gain a preliminary understanding and mastery of the fundamental theories and methods of functional analysis in a relatively short time. It is suitable for senior undergraduate students in mathematics departments of universities and postgraduate students in engineering. It can also be used as a reference for engineering technicians and mathematicians.