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The Resource An Introduction to Linear Transformations in Hilbert Space. (AM-4)

An Introduction to Linear Transformations in Hilbert Space. (AM-4)

Label
An Introduction to Linear Transformations in Hilbert Space. (AM-4)
Title
An Introduction to Linear Transformations in Hilbert Space. (AM-4)
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Subject
Language
eng
Member of
Cataloging source
EBLCP
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Annals of Mathematics Studies
Series volume
v. 4
An Introduction to Linear Transformations in Hilbert Space. (AM-4)
Label
An Introduction to Linear Transformations in Hilbert Space. (AM-4)
Link
http://www.jstor.org/stable/10.2307/j.ctt1bc547d
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Antecedent source
unknown
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Cover; Title; Copyright; TABLE OF CONTENTS; Preface; Chapter I. INTRODUCTION; Chapter II. HILBERT SPACE; 1. The Postulates; 2. Linear Normed Spaces; 3. Additivity and Continuity; 4. Linear Functionals; 5. Linear Manifolds; 6. Orthonormal Sets; Chapter III. REALIZATIONS OF HILBERT SPACE; 1. Preliminary Considerations; 2. l2; 3. h1 5" ... 5"hn and h1 5"h2 5" ... ; 4. L2; Chapter IV. ADDITIVE AND CLOSED TRANSFORMATIONS; 1. The Graph of a Transformation; 2. Adjoints and Closure; 3. Symmetric and Self-adjoint Operators; 4. C.a.d.d. Transformations; Chapter V. WEAK CONVERGENCE
  • 1. Weak Completeness2. Weak Compactness; 3. Closed Transformations with Domain h; Chapter VI. PROJECTIONS AND ISOMETRY; 1. Projections; 2. Unitary and Isometric Transformations; 3. Partially Isometric Transformations; 4. C.a.d.d. Operators; Chapter VII. RESOLUTIONS OF THE IDENTITY; 1. Self-adjoint Transformations with H Finite Dimensional; 2. Resolutions of the Identity and Integration; 3. Improper Integrals; 4. Commutativity and Normal Operators; Chapter VIII. BOUNDED SELF-ADJOINT AND UNITARY TRANSFORMATIONS; 1. Functions of a Bounded H; 2. (Hf, g)
  • 3. Integral Representation of a bounded H4. Integral Representation of a Unitary Operator; Chapter IX. CANONICAL RESOLUTION AND INTEGRAL REPRESENTATIONS; 1. The Canonical Resolution; 2. Self-adjoint Operators; 3. Normal Operators; Chapter X. SYMMETRIC OPERATORS; 1. The Cayley Transform; 2. Structure and Existence of Maximal Symmetric Operators; Chapter XI. REFERENCES TO FURTHER DEVELOPMENTS; 1. Spectrum; 2. Operational Calculus; 3. Commutativity and Normal Operators; 4. Symmetric Transformations; 5. Infinite Matrices; 6. Operators of Finite Norms; 7. Stone' s Theorem
  • 8. Rings of OperatorsChapter XII. REFERENCES TO APPLICATIONS; 1. Integral and Other Types of Operators; 2. Differential Operators; 3. Quantum Mechanics; 4. Classical Mechanics
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Form of item
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Isbn
9781400882267
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Media category
computer
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rdamedia
Media type code
c
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remote

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