Functional Analysis (2nd Edition)

Author: Jiang Zejian, Sun Shanli
Publisher:
Publish Date: 1994-05-01
Features: This textbook was written by the authors based on the "Outline for the Writing of Functional Analysis Textbooks" approved by the Teaching Guidance Committee of Mathematics and Mechanics in Higher Education Institutions. Since its publication in 1994, it has been well-received by many university teachers and students. The new edition primarily addresses the new requirements of higher education reform for various courses and adapts to the situation of compressed teaching hours for functional analysis. The content of the previous edition has been appropriately adjusted. The topics of F-spaces, weak convergence of sequences, weak convergence of sequences, and generalized functions are marked with an asterisk () for those who are capable of studying them. The original theorems and their proofs have been rewritten accordingly to ensure that the content marked with an asterisk is not covered, while maintaining the integrity of the textbook's structure. Additionally, recognizing the importance of quotient spaces and duality theory, the chapter 2, section 6, has been expanded to include content on quotient spaces and duality. The new edition remains moderate in content, suitable for your level, concise and clear, and retains the features of the previous edition. This textbook is suitable as a teaching material for the "Functional Analysis" course in mathematics departments of higher education institutions.