Functional analysis

Author: Hu Shigeng
Publisher:
Publish Date: 2001-08-01
Features: The main content of this book includes: Banach spaces; Linear operators and linear functionals; An introduction to spectral theory; Nonlinear operators; Solutions and hints to exercises. The book has the following features: It highlights the ideas that embody the fundamental characteristics of functional analysis, simplifies or avoids some complex constructions, and strives to reduce difficulty while improving readability. It provides thorough explanations of the background and essence of the main concepts and results. The proofs of all basic conclusions have been simplified as much as possible. Proofs that remain cumbersome even after simplification have been moved to the last section of each chapter. The book contains numerous exercises (more than 300 in total), with Category A exercises being basic and Category B exercises intended for readers with extra time. The language is concise and the text is clear, making it suitable for self-study. It is suitable for students in various science and engineering disciplines, undergraduate students in normal universities, and some non-mathematics postgraduate students as a textbook, as well as for self-study purposes.