Real And Functional Analysis

This book grew out of lectures given at Mekhmat, the Department of Mechanics and Mathematics at Moscow State University. The department is one of the leading mathematical departments in the world and has a long tradition of teaching functional analysis.

It presents an advanced course in real and functional analysis. It covers the core material found in university courses at various levels, along with a survey of the most important results of a subtler kind. These results are not basic, but they are useful in applications.

The book also includes several hundred exercises of varying difficulty, with tips and references.