Functional Analysis

This textbook provides a comprehensive introduction to Functional Analysis and Operator Algebras,covering topics such as Banach spaces, Hilbert spaces, Dual spaces, Weak Topologies, Spectral Theory, and C*-algebras. It is designed for students and includes proofs, examples, and practice exercises.

Format: Paperback / softback
Length: 300 pages
Publication date: 21 September 2023
Publisher: Cambridge University Press

Functional Analysis, a fundamental branch of modern mathematics, has emerged since the early 20th century. This comprehensive and concise textbook is designed to guide students through the foundational principles of Functional Analysis and the theory of Operator Algebras. The text commences with a thorough review of Linear Algebra and Measure Theory, laying the groundwork for subsequent chapters. It delves into concepts such as Banach spaces, Hilbert spaces, Dual spaces, and Weak Topologies, providing a solid foundation for understanding the mathematical landscape. Subsequent chapters introduce the theory of operator algebras as a powerful tool for studying linear operators on Hilbert spaces. Topics covered include Spectral Theory and C*-algebras, offering a comprehensive understanding of these mathematical structures. Theorems are presented with clear proofs and ample examples, facilitating a deep comprehension of the subject matter. Throughout the book, historical background information is provided to contextualize the mathematical concepts and enhance their understanding. To facilitate effective learning, chapters conclude with a series of practice exercises organized by topic. This approach makes the book an invaluable resource for classroom instruction as well as self-study, allowing students to consolidate their knowledge and apply it in real-world scenarios. Whether you are a mathematics student seeking to expand your knowledge in Functional Analysis or a professional looking to deepen your understanding of this field, this textbook is an essential guide.

Weight: 744g
Dimension: 185 x 241 x 27 (mm)
ISBN-13: 9781009243902