Theory of operators

The textbook corresponds to the program of the courses "Functional Analysis", "Operator Theory", "Analysis III", which are taught at universities and pedagogical universities. The book presents the basic set-theoretic concepts, presents the general theory of metric, topological, linear topological and normalized spaces, the general theory of measure, measurable functions and the Lebesgue integral. The theory of operators in Hilbert space, the spectral theory of self-adjoint operators, traces of operators, applications of methods of the theory of analytic functions in the spectral theory of non-self-adjoint operators, the theory of the Fourier transform and generalized functions are considered in detail.

For students of universities, pedagogical universities and universities with advanced study of mathematics. It can be useful for graduate students and researchers.