Tasks and exercises in functional analysis. Over 1700 tasks

This textbook is a collection of tasks and exercises on functional analysis. The collection consists of eleven chapters reflecting the main issues of the university course of functional analysis. At the beginning of each chapter, brief theoretical information is given, then the tasks and exercises of varying degrees of difficulty. The tasks are given answers and instructions. Certain attention is paid to the so -called countermers - examples showing that some believable, at first glance, are not wrong statements.
The manual is intended for students of mathematical specialties, it can be used in the study of such analysis disciplines as the theory of sets, topology, the theory of generalized functions, the theory of integrated equations