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Operator Theory: A Comprehensive Course in Analysis, Part 4, by Barry Simon
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A Comprehensive Course in Analysis by Poincare Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.
- Sales Rank: #2331218 in Books
- Published on: 2015-12-04
- Original language: English
- Dimensions: 10.00" h x 7.25" w x 1.75" l,
- Binding: Hardcover
- 749 pages
About the Author
Barry Simon, California Institute of Technology, Pasadena, CA, USA.
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