Functional Analysis Tutorial

Author: Yu Zongyi
Publisher:
Publish Date: 2001-01-01
Features: During the writing process of this book, efforts were made to ensure the selected content for graduate students is rich, reflecting the latest developments in the discipline to meet the needs of research. Theoretical explanations are presented as much as possible from simple to complex, from concrete to abstract. The introduction of new concepts and theorems is explained from an intuitive perspective, or starting from mathematical facts that students have already learned and can easily understand, followed by abstract definitions or theorems. Additionally, this "Textbook" includes a selection of numerous examples, including some simple examples that are easily understandable for undergraduate students. Each chapter is accompanied by a substantial number of exercises, with particular attention paid to selecting exercises suitable for students to practice basic concepts. This "Textbook" can serve as a reference for undergraduate elective courses in comprehensive universities and normal universities, as well as for graduate students. It can also be used by relevant teachers and scientific and technological workers as a reference in their research work. The book covers topics such as metric spaces, topological spaces, bounded linear operators and continuous linear functionals, locally convex spaces, weak topology, and abstract functions.