Elementary introduction into a functional analysis: theory, examples and problems with solutions. 2nd edition

The guide offered to attention is an elementary introduction into a functional analysis. It is intended for students and graduate students of mathematical specialties that have undergone a course of mathematical analysis, but do not have serious preparation for reading classical textbooks on functional analysis. In domestic literature, there is a significant gap in the level of details of the presentation between standard textbooks on mathematical analysis and standard functional analysis courses. This book should partially fill this gap and help students acquire the necessary training to study more complete manuals on functional analysis. In this regard, the author was limited to the presentation of functional analysis in normalized spaces, which made it possible to significantly increase both the details of the presentation of the material and the number of examples and tasks analyzed. In total, about 50 examples were dismantled in the manual and about 150 tasks were solved, most of which were compiled by the author specifically for this manual. The book contains a large number of simple examples and tasks that have an explanatory character. The manual is suitable for independent study, the subject due to the fullness and details of the presentation of theoretical material and the abundance of disassembled practical examples and tasks. The manual is recommended for students, graduate students of mathematical specialties and all those interested in functional analysis.