000			01725nam a22002057a 4500
003			OSt
005			20241106160502.0
008			190124b ||||| |||| 00| 0 eng d
020			_a 978-1-4704-1103-9
040			_cSurya Book Supplier _aICTS-TIFR
050			_aQA300
100			_aSimon Barry
245			_aOperator theory _b: a comprehensive course in analysis, part 4
260			_aRhode Island: _bAmerican Mathematical Society, _c[c2015]
300			_a749 p.
505			_aChapter 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
520			_a 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
650			_aMathematics
942			_2lcc _cBK
999			_c2195 _d2195