Larsen R. Functional analysis: An introduction

Marcel Dekker, 1973. — 506 p.
The exposition in the following pages is based on lectures I gave to second year mathematics graduate students at Wesleyan University during the academic years 1970 - 71 and 1971 - 72. The intent of the lectures was to provide the student with an introduction to functional analysis that not only presented the basic notions, theorems, and techniques of the subject, but also gave a modest sampling of the applications of functional analysis. This remains the goal of the present book. The choice of the topics and applications is clearly idiosyncratic, and I make no claim to a balanced, iet alone definitive, treatment. I will consider the book a success if it but convinces the reader of the beauty; power, and utility of functional analysis.