Introduction to Hilbert Space

by Sterling K. Berberian

From the "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 necessary for the reader to have a foundation in advanced calculus which includes familiarity least upper bound (LUB) and greatest lower bound (GLB), the concept of function, $ psilon$'s and their companion $delta$'s, and basic properties of sequences of real and complex numbers (convergence, Cauchy's criterion, the Weierstrass-Bolzano theorem). 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."

Genres: Mathematics, Reference, Textbooks

218 pages, Hardcover

First published January 1, 1974

Reviews

[Jay Howard · Rating 3 out of 5]

It has been several years since I've read this book, but I have occasionally returned to it for reference. It is eminently readable, even for someone lacking basically any subject-area knowledge. However, it suffers for the same reason, in that it does not get to any majorly interesting results. It serves exactly as the title says, and no more.