Chapter II. HILBERT SPACE

Chapters in this book

1. Frontmatter i
2. PREFACE v
3. TABLE OF CONTENTS vii
4. Chapter I. INTRODUCTION 1
5. Chapter II. HILBERT SPACE 4
6. Chapter III. REALIZATIONS OF HILBERT SPA 22
7. Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS 31
8. Chapter V. WEAK CONVERGENCE 45
9. Chapter VI. PROJECTIONS AND ISOMETRY 51
10. Chapter VII . RESOLUTIONS OF THE IDENTITY 64
11. Chapter VIII . BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS 81
12. Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS 95
13. Chapter X. SYMMETRIC OPERATORS 110
14. Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS 122
15. Chapter XII. REFERENCES TO APPLICATIONS 130
16. REFERENCES 133