Operator Theory
Material type: TextLanguage: English Series: A Comprehensive Course in Analysi ; 4Publication details: Providence American Mathematical Society (AMS) 2023Edition: Indian EditionDescription: xviii, 749 pISBN: 9781470437794 (PB)Subject(s): Functional analysis Instructional exposition (textbooks, tutorial papers, etc.) | Operator theory Instructional exposition (textbooks, tutorial papers, etc.) | MathematicsCurrent library | Home library | Call number | Materials specified | Copy number | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 51(06) SIM (Browse shelf (Opens below)) | Available | 77185 | |||
IMSc Library | IMSc Library | 51(06) SIM (Browse shelf (Opens below)) | 1 | Available | 77168 |
PreliminariesOperator basicsCompact operators, mainly on a Hilbert spaceOrthogonal polynomialsThe spectral theoremBanach algebrasBonus chapter: Unbounded self-adjoint operatorsBibliographySymbol indexSubject indexAuthor indexIndex of capsule biographies
A Comprehensive Course in Analysis by Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information. 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.
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