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.