Chapter I. INTRODUCTION

Francis Joseph Murray

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Chapter I. INTRODUCTION

Francis Joseph Murray

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This chapter is in the book An Introduction to Linear Transformations in Hilbert Space

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Murray, Francis Joseph. "Chapter I. INTRODUCTION". An Introduction to Linear Transformations in Hilbert Space, Princeton: Princeton University Press, 1942, pp. 1-3. https://doi.org/10.1515/9781400882267-002

Murray, F. (1942). Chapter I. INTRODUCTION. In An Introduction to Linear Transformations in Hilbert Space (pp. 1-3). Princeton: Princeton University Press. https://doi.org/10.1515/9781400882267-002

Murray, F. 1942. Chapter I. INTRODUCTION. An Introduction to Linear Transformations in Hilbert Space. Princeton: Princeton University Press, pp. 1-3. https://doi.org/10.1515/9781400882267-002

Murray, Francis Joseph. "Chapter I. INTRODUCTION" In An Introduction to Linear Transformations in Hilbert Space, 1-3. Princeton: Princeton University Press, 1942. https://doi.org/10.1515/9781400882267-002

Murray F. Chapter I. INTRODUCTION. In: An Introduction to Linear Transformations in Hilbert Space. Princeton: Princeton University Press; 1942. p.1-3. https://doi.org/10.1515/9781400882267-002

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Chapters in this book

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

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https://doi.org/10.1515/9781400882267-002

Chapters in this book

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

Chapter I. INTRODUCTION

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