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.

The Analyst's Gambit: A Second Course in Functional Analysis
266
The Analyst's Gambit: A Second Course in Functional Analysis
266Product Details
ISBN-13: | 9781032286570 |
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Publisher: | CRC Press |
Publication date: | 09/15/2025 |
Pages: | 266 |
Product dimensions: | 6.12(w) x 9.19(h) x (d) |