Operator Theory: A Comprehensive Course in Analysis, Part 4 - Hardcover

Barry Simon

Hardcover

ISBN 10: 1470411032 ISBN 13: 9781470411039

Publisher: American Mathematical Society, 2015

Synopsis

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.

About this title

About the Author

Barry Simon, California Institute of Technology, Pasadena, CA, USA.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2015
• Language: English
• ISBN 10: 1470411032
• ISBN 13: 9781470411039
• Binding: Hardcover
• Number of pages: 749