Functional Analysis

Sergei Ovchinnikov is Professor Emeritus of Mathematics at San Francisco State University. His other Universitext books are Measure, Integral, Derivative: a Course on Lebesgue's Theory (2013) and Graphs and Cubes (2011).

“This textbook is well organized and the proofs are carefully written. … Each chapter is concluded with an interesting note and several exercises, helping the reader to better understand the topics of the chapter. … it will be useful for upper-undergraduate and beginning graduate students.” (Mohammad Sal Moslehian, zbMATH 1398.46001, 2018)

• Preface.- 1. Preliminaries.- 2. Metric Spaces.- 3. Special Spaces.- 4. Normed Spaces.- 5. Linear Functionals.- 6. Fundamental Theorems.- 7. Hilbert Spaces.- A. Hilbert Spaces L2(J).- References.- Index.