Berberian S.K. Introduction to Hilbert Space

Oxford University Press, 1971. — 214 p.From the Preface: "This textbook has evolved from a set of lecture notes... In both the course and the book, I have in mind first- or second-year graduate students in Mathematics and related fields such as Physics...It is not presupposed that the reader is acquainted with vector spaces... matrices... or determinants... There are over four hundred exercises, most of them easy... It is my hope that this book, aside from being an exposition of certain basic material on Hilbert space, may also serve as an introduction to other areas of functional analysis."