An Introduction to Linear Transformations in Hilbert Space

by Francis Joseph Murray

Overview

A classic introduction to linear transformations in Hilbert space from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Product Details

ISBN-13:	9781400882267
Publisher:	Princeton University Press
Publication date:	03/02/2016
Series:	Annals of Mathematics Studies , #4
Sold by:	Barnes & Noble
Format:	eBook
Pages:	135
File size:	6 MB

Table of Contents

• Frontmatter, pg. i
• PREFACE, pg. v
• TABLE OF CONTENTS, pg. vii
• Chapter I. INTRODUCTION, pg. 1
• Chapter II. HILBERT SPACE, pg. 4
• Chapter III. REALIZATIONS OF HILBERT SPA, pg. 22
• Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS, pg. 31
• Chapter V. WEAK CONVERGENCE, pg. 45
• Chapter VI. PROJECTIONS AND ISOMETRY, pg. 51
• Chapter VII . RESOLUTIONS OF THE IDENTITY, pg. 64
• Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS, pg. 81
• Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS, pg. 95
• Chapter X. SYMMETRIC OPERATORS, pg. 110
• Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS, pg. 122
• Chapter XII. REFERENCES TO APPLICATIONS, pg. 130
• REFERENCES, pg. 133