Operator theory : a comprehensive course in analysis, part 4

By: Simon BarryMaterial type: TextTextPublication details: Rhode Island: American Mathematical Society, [c2015]Description: 749 pISBN: 978-1-4704-1103-9Subject(s): MathematicsLOC classification: QA300
Contents:
Chapter 1. Preliminaries Chapter 2. Operator basics Chapter 3. Compact operators, mainly on a Hilbert space Chapter 4. Orthogonal polynomials Chapter 5. The spectral theorem Chapter 6. Banach algebras Chapter 7. Bonus chapter: Unbounded self-adjoint operators
Summary: A Comprehensive Course in Analysis by Poincaré 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. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA300 (Browse shelf (Opens below)) Available Billno: 1132 ; Billdate: 21.01.2019 01539
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Chapter 1. Preliminaries
Chapter 2. Operator basics
Chapter 3. Compact operators, mainly on a Hilbert space
Chapter 4. Orthogonal polynomials
Chapter 5. The spectral theorem
Chapter 6. Banach algebras
Chapter 7. Bonus chapter: Unbounded self-adjoint operators

A Comprehensive Course in Analysis by Poincaré 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. --- summary provided by publisher

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