An introduction to linear transformation
β Murray F.J
π Library
π
1941
π Princeton University Press
π English
β¦ LIBER β¦
π
An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4
β Scribed by Francis Joseph Murray
- Publisher
- Princeton University Press
- Year
- 2016
- Tongue
- English
- Leaves
- 147
- Series
- Annals of Mathematics Studies; 4
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
The description for this book, An Introduction to Linear Transformations in Hilbert Space. (AM-4), Volume 4, will be forthcoming.
β¦ Table of Contents
TABLE OF CONTENTS
Preface
Chapter I. INTRODUCTION
Chapter II. HILBERT SPACE
Β§1. The Postulates
Β§2. Linear Normed Spaces
Β§3. Additivity and Continuity
Β§4. Linear Functionals
Β§5. Linear Manifolds
Β§6. Orthonormal Sets
Chapter III. REALIZATIONS OF HILBERT SPACE
Β§1. Preliminary Considerations
Β§2. l2
Β§3. h1 β ... β hn and h1 β h2 β ...
Β§4. L2
Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS
Β§1. The Graph of a Transformation
Β§2. Adjoints and Closure
Β§3. Symmetric and Self-adjoint Operators
Β§4. C.a.d.d. Transformations
Chapter V. WEAK CONVERGENCE
Β§1. Weak Completeness
Β§2. Weak Compactness
Β§3. Closed Transformations with Domain h
Chapter VI. PROJECTIONS AND ISOMETRY
Β§1. Projections
Β§2. Unitary and Isometric Transformations
Β§3. Partially Isometric Transformations
Β§4. C.a.d.d. Operators
Chapter VII. RESOLUTIONS OF THE IDENTITY
Β§1. Self-adjoint Transformations with H Finite Dimensional
Β§2. Resolutions of the Identity and Integration
Β§3. Improper Integrals
Β§4. Commutativity and Normal Operators
Chapter VIII. BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS
Β§1. Functions of a Bounded H
Β§2. (Hf,g)
Β§3. Integral Representation of a bounded H
Β§4. Integral Representation of a Unitary Operator
Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS
Β§1. The Canonical Resolution
Β§2. Self-adjoint Operators
Β§3. Normal Operators
Chapter X. SYMMETRIC OPERATORS
Β§1. The Cayley Transform
Β§2. Structure and Existence of Maximal Symmetric Operators
Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS
Β§1. Spectrum
Β§2. Operational Calculus
Β§3. Commutativity and Normal Operators
Β§4. Symmetric Transformations
Β§5. Infinite Matrices
Β§6. Operators of Finite Norms
Β§7. Stoneβ s Theorem
Β§8. Rings of Operators
Chapter XII. REFERENCES TO APPLICATIONS
Β§1. Integral and Other Types of Operators
Β§2. Differential Operators
Β§3. Quantum Mechanics
Β§4. Classical Mechanics
π SIMILAR VOLUMES
An introduction to linear transformation
β Murray, Francis Joseph
π Library
π
1941
π Princeton University Press
π English
An introduction to linear transformation
β Murray, Francis Joseph
π Library
π
1941
π Princeton University Press
π English
Linear transformations in Hilbert space
β M. H. Stone
π Library
π
1932
π American Mathematical Society
π English
This book [a 1990 reprint of the 1932 original] is a classic by now. --Mathematical Reviews
An Introduction to Hilbert Space
β Young N.
π Library
π
1988
π CUP
π English
Linear Transformations in Hilbert Space.
β Stone M. H.
π Library
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1929
π English