
The Analyst's Gambit
A Second Course in Functional Analysis
Orr Moshe Shalit(Author)
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 15. September 2025
Book
Hardback
254 pages
978-1-032-28657-0 (ISBN)
Description
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 previous volume, A First Course in Functional Analysis, but it is not necessary to have read one in order to make use of the other. As a graduate text, the reader is assumed to have taken undergraduate courses in set theory, calculus, metric spaces and topology, complex analysis, measure theory (or, alternatively, have enough mathematical maturity to carry on without having seen every particular fact that is used).
A particular strength of the book is that it includes numerous applications. Besides being engaging and interesting in their own right, these applications also illustrate how functional analysis is used in other parts of mathematics. The applications to problems from varied fields (PDEs, Fourier series, group theory, neural networks, topology, etc.) constitute an enticing external motivation for studying functional analysis. There are also applications of the material to functional analytic problems (Lomonosov's invariant subspace theorem, the spectral theorem, Stone's theorem), showcasing the power of the results as well as the elegance and unity of the theory.
Features
* Can be used as the primary textbook for a graduate course in functional analysis
* Rich variety of exercises
* Emphasis on substantial and modern applications
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.
A particular strength of the book is that it includes numerous applications. Besides being engaging and interesting in their own right, these applications also illustrate how functional analysis is used in other parts of mathematics. The applications to problems from varied fields (PDEs, Fourier series, group theory, neural networks, topology, etc.) constitute an enticing external motivation for studying functional analysis. There are also applications of the material to functional analytic problems (Lomonosov's invariant subspace theorem, the spectral theorem, Stone's theorem), showcasing the power of the results as well as the elegance and unity of the theory.
Features
* Can be used as the primary textbook for a graduate course in functional analysis
* Rich variety of exercises
* Emphasis on substantial and modern applications
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.
More details
Language
English
Place of publication
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Postgraduate
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 19 mm
Weight
570 gr
ISBN-13
978-1-032-28657-0 (9781032286570)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
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E-Book
09/2025
1st Edition
Chapman and Hall
€69.99
Available for download

E-Book
09/2025
1st Edition
Chapman and Hall
€69.99
Available for download

Book
09/2025
1st Edition
Chapman & Hall/CRC
€79.40
Shipment within 10-20 days
Person
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.
Content
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