Graduate Texts in Mathematics

2 primary works

Lectures in Functional Analysis and Operator Theory

by S. K. Berberian and P R Halmos

Published 9 October 1974

A Hilbert Space Problem Book

by P R Halmos

Published 1 January 1974

From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem....

This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book."