Analysts Gambit - A Second Course in Functional Analysis

The Analyst's Gambit: A Second Course in Functional Analysis is a textbook written to serve a graduate course in Functional Analysis. It provides a sequel to the author's other volume, A First Course in Functional Analysis, but it is not necessary to have read one in order to make use of the other.

List of contents

Preface 1. Basic notions and first examples of Banach spaces 2. The Hahn-Banach theorems and duality 3. The dual spaces of Lp and C0(X) 4. The open mapping, uniform boundedness and closed graph theorems 5. Further aspects of duality: weak convergence and the adjoint 6. Locally convex spaces and weak topologies 7. The Krein-Milman theorem and applications 8. Banach algebras 9. Commutative Banach algebras 10. C*-algebras 11. The spectral theorem and von Neumann algebras 12. Representations of C*-algebras 13. Unbounded operators Bibliography Index

About the author

Orr Moshe Shalit is a professor of mathematics at the Technion Israel Institute of Technology, where he teaches and conducts research in operator theory, operator algebras, functional analysis and function theory. His first book, A First Course in Functional Analysis, was published by Chapman & Hall / CRC in 2017.

Product details

• Authors: Orr Moshe Shalit, Shalit Orr Moshe
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 31.10.2025
• EAN: 9781032286594
• ISBN: 978-1-0-3228659-4
• No. of pages: 254
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Algebra, MATHEMATICS / General, MATHEMATICS / Functional Analysis, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Algebra / Linear, Functional analysis & transforms, Functional analysis and transforms, linear algebra;topology;unbounded operators;metric spaces