Perturbation theory for linear operators
By: Tosio Kato.
Edition: Corr. printing of the 2nd ed.
Series: Grundlehren der mathematischen Wissenschaften ;; 132; Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ;; Bd. 132.
Publisher: Springer-Verlag
Published: 1984
Place of publication: Berlin; New York
Language: eng
Number of pages: 619
Subjects: Linear operators.; Perturbation (Mathematics)
Notes: Bibliography: p.
Cataloging based on CIP information.
Includes indexes.
Table of contents: title: Introduction
pagenum: XVII; label: Chapter One
title: Operator Theory In Finite-Dimensional Vector Spaces; label: § 1
title: Vector Spaces And Normed Vector Spaces
pagenum: 1; label: 1
title: Basic Notions
pagenum: 1; label: 2
title: Bases
pagenum: 2; label: 3
title: Linear Manifolds
pagenum: 3; label: 4
title: Convergence And Norms
pagenum: 4; label: 5
title: Topological Notions In A Normed Space
pagenum: 6; label: 6
title: Infinite Series Of Vectors
pagenum: 7; label: 7
title: Vector-Valued Functions
pagenum: 8; label: § 2
title: Linear Forms And The Adjoint Space
pagenum: 10; label: 1
title: Linear Forms
pagenum: 10; label: 2
title: The Adjoint Space
pagenum: 11; label: 3
title: The Adjoint Basis
pagenum: 12; label: 4
title: The Adjoint Space Of A Normed Space
pagenum: 13; label: 5
title: The Convexity Of Balls
pagenum: 14; label: 6
title: The Second Adjoint Space
pagenum: 15; label: § 3
title: Linear Operators
pagenum: 16; label: 1
title: Definitions. Matrix Representations
pagenum: 16; label: 2
title: Linear Operations On Operators
pagenum: 18; label: 3
title: The Algebra Of Linear Operators
pagenum: 19; label: 4
title: Projections. Nilpotents
pagenum: 20; label: 5
title: Invariance. Decomposition
pagenum: 22; label: 6
title: The Adjoint Operator
pagenum: 23; label: § 4
title: Analysis With Operators
pagenum: 25; label: 1
title: Convergence And Norms For Operators
pagenum: 25; label: 2
title: The Norm Of T^n
pagenum: 27; label: 3
title: Examples Of Norms
pagenum: 28; label: 4
title: Infinite Series Of Operators
pagenum: 29; label: 5
title: Operator-Valued Functions
pagenum: 31; label: 6
title: Pairs Of Projections
pagenum: 32; label: § 5
title: The Eigenvalue Problem
pagenum: 34; label: 1
title: Definitions
pagenum: 34; label: 2
title: The Resolvent
pagenum: 36; label: 3
title: Singularities Of The Resolvent
pagenum: 38; label: 4
title: The Canonical Form Of An Operator
pagenum: 40; label: 5
title: The Adjoint Problem
pagenum: 43; label: 6
title: Functions Of An Operator
pagenum: 44; label: 7
title: Similarity Transformations
pagenum: 46; label: § 6
title: Operators In Unitary Spaces
pagenum: 47; label: 1
title: Unitary Spaces
pagenum: 47; label: 2
title: The Adjoint Space
pagenum: 48; label: 3
title: Orthonormal Families
pagenum: 49; label: 4
title: Linear Operators
pagenum: 51; label: 5
title: Symmetric Forms And Symmetric Operators
pagenum: 52; label: 6
title: Unitary, Isometric And Normal Operators
pagenum: 54; label: 7
title: Projections
pagenum: 55; label: 8
title: Pairs Of Projections
pagenum: 56; label: 9
title: The Eigenvalue Problem
pagenum: 58; label: 10
title: The Minimax Principle
pagenum: 60; label: Chapter Two
title: Perturbation Theory In A Finite-Dimensional Space
pagenum: 62; label: § 1
title: Analytic Perturbation Of Eigenvalues
pagenum: 63; label: 1
title: The Problem
pagenum: 63; label: 2
title: Singularities Of The Eigenvalues
pagenum: 65; label: 3
title: Perturbation Of The Resolvent
pagenum: 66; label: 4
title: Perturbation Of The Eigenprojections
pagenum: 67; label: 5
title: Singularities Of The Eigenprojections
pagenum: 69; label: 6
title: Remarks And Examples
pagenum: 70; label: 7
title: The Case Of T(x) Linear In x
pagenum: 72; label: 8
title: Summary
pagenum: 73; label: § 2
title: Perturbation Series
pagenum: 74; label: 1
title: The Total Projection For The λ-Group
pagenum: 74; label: 2
title: The Weighted Mean Of Eigenvalues
pagenum: 77; label: 3
title: The Reduction Process
pagenum: 81; label: 4
title: Formulas For Higher Approximations
pagenum: 83; label: 5
title: A Theorem Of Motzkin-Tausky
pagenum: 85; label: 6
title: The Ranks Of The Coefficients Of The Perturbation Series
pagenum: 86; label: § 3
title: Convergence Radii And Error Estimates
pagenum: 88; label: 1
title: Simple Estimates
pagenum: 88; label: 2
title: The Method Of Majorizing Series
pagenum: 89; label: 3
title: Estimates On Eigenvectors
pagenum: 91; label: 4
title: Further Error Estimates
pagenum: 93; label: 5
title: The Special Case Of A Normal Unperturbed Operator
pagenum: 94; label: 6
title: The Enumerative Method
pagenum: 97; label: § 4
title: Similarity Transformations Of The Eigenspaces And Eigenvectors
pagenum: 98; label: 1
title: Eigenvectors
pagenum: 98; label: 2
title: Transformation Functions
pagenum: 99; label: 3
title: Solution Of The Differential Equation
pagenum: 102; label: 4
title: The Transformation Function And The Reduction Process
pagenum: 104; label: 5
title: Simultaneous Transformation For Several Projections
pagenum: 104; label: 6
title: Diagonalization Of A Holomorphic Matrix Function
pagenum: 106; label: § 5
title: Non-Analytic Perturbations
pagenum: 106; label: 1
title: Continuity Of The Eigenvalues And The Total Projection
pagenum: 106; label: 2
title: The Numbering Of The Eigenvalues
pagenum: 108; label: 3
title: Continuity Of The Eigenspaces And Eigenvectors
pagenum: 110; label: 4
title: Differentiability At A Point
pagenum: 111; label: 5
title: Differentiability In An Interval
pagenum: 113; label: 6
title: Asymptotic Expansion Of The Eigenvalues And Eigenvectors
pagenum: 115; label: 7
title: Operators Depending On Several Parameters
pagenum: 116; label: 8
title: The Eigenvalues As Functions Of The Operator
pagenum: 117; label: § 6
title: Perturbation Of Symmetric Operators
pagenum: 120; label: 1
title: Analytic Perturbation Of Symmetric Operators
pagenum: 120; label: 2
title: Orthonormal Families Of Eigenvectors
pagenum: 121; label: 3
title: Continuity And Differentiability
pagenum: 122; label: 4
title: The Eigenvalues As Functions Of The Symmetric Operator
pagenum: 124; label: 5
title: Applications: A Theorem Of Lidskii
pagenum: 124; label: Chapter Three
title: Introduction To The Theory Of Operators In Banach Spaces; label: § 1
title: Banach Spaces
pagenum: 127; label: 1
title: Normed Spaces
pagenum: 127; label: 2
title: Banach Spaces
pagenum: 129; label: 3
title: Linear Forms
pagenum: 132; label: 4
title: The Adjoint Space
pagenum: 134; label: 5
title: The Principle Of Uniform Boundedness
pagenum: 136; label: 6
title: Weak Convergence
pagenum: 137; label: 7
title: Weak* Convergence
pagenum: 140; label: 8
title: The Quotient Space
pagenum: 140; label: § 2
title: Linear Operators In Banach Spaces
pagenum: 142; label: 1
title: Linear Operators: The Domain And Range
pagenum: 142; label: 2
title: Continuity And Boundedness
pagenum: 145; label: 3
title: Ordinary Differential Operators Of Second Order
pagenum: 146; label: § 3
title: Bounded Operators
pagenum: 149; label: 1
title: The Space Of Bounded Operators
pagenum: 149; label: 2
title: The Operator Algebra B(X)
pagenum: 153; label: 3
title: The Adjoint Operator
pagenum: 154; label: 4
title: Projections
pagenum: 155; label: § 4
title: Compact Operators
pagenum: 157; label: 1
title: Definition
pagenum: 157; label: 2
title: The Space Of Compact Operators
pagenum: 158; label: 3
title: Degenerate Operators: The Trace And Determinant
pagenum: 160; label: § 5
title: Closed Operators
pagenum: 163; label: 1
title: Remarks On Unbounded Operators
pagenum: 163; label: 2
title: Closed Operators
pagenum: 164; label: 3
title: Closable Operators
pagenum: 165; label: 4
title: The Closed Graph Theorem
pagenum: 166; label: 5
title: The Adjoint Operator
pagenum: 167; label: 6
title: Commutativity And Decomposition
pagenum: 171; label: § 6
title: Resolvents And Spectra
pagenum: 172; label: 1
title: Definitions
pagenum: 172; label: 2
title: The Spectra Of Bounded Operators
pagenum: 176; label: 3
title: The Point At Infinity
pagenum: 176; label: 4
title: Separation Of The Spectrum
pagenum: 178; label: 5
title: Isolated Eigenvalues
pagenum: 180; label: 6
title: The Resolvent of the Adjoint
pagenum: 183; label: 7
title: The Spectra of Compact Operators
pagenum: 185; label: 8
title: Operators with Compact Resolvent
pagenum: 187; label: Chapter Four
title: Stability Theorems; label: § 1
title: Stability of Closedness and Bounded Invertibility
pagenum: 189; label: 1
title: Stability of Closedness Under Relatively Bounded Perturbation
pagenum: 189; label: 2
title: Examples of Relative Boundedness
pagenum: 191; label: 3
title: Relative Compactness and a Stability Theorem
pagenum: 194; label: 4
title: Stability of Bounded Invertibility
pagenum: 196; label: § 2
title: Generalized Convergence of Closed Operators
pagenum: 197; label: 1
title: The Gap Between Subspaces
pagenum: 197; label: 2
title: The Gap and the Dimension
pagenum: 199; label: 3
title: Duality
pagenum: 200; label: 4
title: The Gap Between Closed Operators
pagenum: 201; label: 5
title: Further Results on the Stability of Bounded Invertibility
pagenum: 205; label: 6
title: Generalized Convergence
pagenum: 206; label: § 3
title: Perturbation of the Spectrum
pagenum: 208; label: 1
title: Upper Semicontinuity of the Spectrum
pagenum: 208; label: 2
title: Lower Semi-Discontinuity of the Spectrum
pagenum: 209; label: 3
title: Continuity and Analyticity of the Resolvent
pagenum: 210; label: 4
title: Semicontinuity of Separated Parts of the Spectrum
pagenum: 212; label: 5
title: Continuity of a Finite System of Eigenvalues
pagenum: 213; label: 6
title: Change of the Spectrum Under Relatively Bounded Perturbation
pagenum: 214; label: 7
title: Simultaneous Consideration of an Infinite Number of Eigenvalues
pagenum: 215; label: 8
title: An Application to Banach Algebras: Wiener's Theorem
pagenum: 216; label: § 4
title: Pairs of Closed Linear Manifolds
pagenum: 218; label: 1
title: Definitions
pagenum: 218; label: 2
title: Duality
pagenum: 221; label: 3
title: Regular Pairs of Closed Linear Manifolds
pagenum: 223; label: 4
title: The Approximate Nullity and Deficiency
pagenum: 225; label: 5
title: Stability Theorems
pagenum: 227; label: § 5
title: Stability Theorems for Semi-Fredholm Operators
pagenum: 229; label: 1
title: The Nullity, Deficiency and Index of an Operator
pagenum: 229; label: 2
title: The General Stability Theorem
pagenum: 232; label: 3
title: Other Stability Theorems
pagenum: 236; label: 4
title: Isolated Eigenvalues
pagenum: 239; label: 5
title: Another Form of the Stability Theorem
pagenum: 241; label: 6
title: Structure of the Spectrum of a Closed Operator
pagenum: 242; label: § 6
title: Degenerate Perturbations
pagenum: 244; label: 1
title: The Weinstein-Aronszajn Determinants
pagenum: 244; label: 2
title: The W-A Formulas
pagenum: 246; label: 3
title: Proof of the W-A Formulas
pagenum: 248; label: 4
title: Conditions Excluding the Singular Case
pagenum: 249; label: Chapter Five
title: Operators in Hilbert Spaces; label: § 1
title: Hilbert Space
pagenum: 251; label: 1
title: Basic Notions
pagenum: 251; label: 2
title: Complete Orthonormal Families
pagenum: 254; label: § 2
title: Bounded Operators in Hilbert Spaces
pagenum: 256; label: 1
title: Bounded Operators and Their Adjoints
pagenum: 256; label: 2
title: Unitary and Isometric Operators
pagenum: 257; label: 3
title: Compact Operators
pagenum: 260; label: 4
title: The Schmidt Class
pagenum: 262; label: 5
title: Perturbation of Orthonormal Families
pagenum: 264; label: § 3
title: Unbounded Operators in Hilbert Spaces
pagenum: 267; label: 1
title: General Remarks
pagenum: 267; label: 2
title: The Numerical Range
pagenum: 267; label: 3
title: Symmetric Operators
pagenum: 269; label: 4
title: The Spectra of Symmetric Operators
pagenum: 270; label: 5
title: The Resolvents and Spectra of Selfadjoint Operators
pagenum: 272; label: 6
title: Second-Order Ordinary Differential Operators
pagenum: 274; label: 7
title: The Operators T*T
pagenum: 275; label: 8
title: Normal Operators
pagenum: 276; label: 9
title: Reduction of Symmetric Operators
pagenum: 277; label: 10
title: Semibounded and Accretive Operators
pagenum: 278; label: 11
title: The Square Root of an m-Accretive Operator
pagenum: 281; label: § 4
title: Perturbation of Selfadjoint Operators
pagenum: 287; label: 1
title: Stability of Selfadjointness
pagenum: 287; label: 2
title: The Case of Relative Bound 1
pagenum: 289; label: 3
title: Perturbation of the Spectrum
pagenum: 290; label: 4
title: Semibounded Operators
pagenum: 291; label: 5
title: Completeness of the Eigenprojections of Slightly Non-Selfadjoint Operators
pagenum: 293; label: § 5
title: The Schrödinger and Dirac Operators
pagenum: 297; label: 1
title: Partial Differential Operators
pagenum: 297; label: 2
title: The Laplacian in the Whole Space
pagenum: 299; label: 3
title: The Schrödinger Operator with a Static Potential
pagenum: 302; label: 4
title: The Dirac Operator
pagenum: 305; label: Chapter Six
title: Sesquilinear Forms in Hilbert Spaces and Associated Operators; label: § 1
title: Sesquilinear and Quadratic Forms
pagenum: 308; label: 1
title: Definitions
pagenum: 308; label: 2
title: Semiboundedness
pagenum: 310; label: 3
title: Closed Forms
pagenum: 313; label: 4
title: Closable Forms
pagenum: 315; label: 5
title: Forms Constructed from Sectorial Operators
pagenum: 318; label: 6
title: Sums of Forms
pagenum: 319; label: 7
title: Relative Boundedness for Forms and Operators
pagenum: 321; label: § 2
title: The Representation Theorems
pagenum: 322; label: 1
title: The First Representation Theorem
pagenum: 322; label: 2
title: Proof of the First Representation Theorem
pagenum: 323; label: 3
title: The Friedrichs Extension
pagenum: 325; label: 4
title: Other Examples for the Representation Theorem
pagenum: 326; label: 5
title: Supplementary Remarks
pagenum: 328; label: 6
title: The Second Representation Theorem
pagenum: 331; label: 7
title: The Polar Decomposition of a Closed Operator
pagenum: 334; label: § 3
title: Perturbation of Sesquilinear Forms and the Associated Operators
pagenum: 336; label: 1
title: The Real Part of an M-Sectorial Operator
pagenum: 336; label: 2
title: Perturbation of an M-Sectorial Operator and Its Resolvent
pagenum: 338; label: 3
title: Symmetric Unperturbed Operators
pagenum: 340; label: 4
title: Pseudo-Friedrichs Extensions
pagenum: 341; label: § 4
title: Quadratic Forms and the Schrödinger Operators
pagenum: 343; label: 1
title: Ordinary Differential Operators
pagenum: 343; label: 2
title: The Dirichlet Form and the Laplace Operator
pagenum: 346; label: 3
title: The Schrödinger Operators in R³
pagenum: 348; label: 4
title: Bounded Regions
pagenum: 352; label: § 5
title: The Spectral Theorem and Perturbation of Spectral Families
pagenum: 353; label: 1
title: Spectral Families
pagenum: 353; label: 2
title: The Selfadjoint Operator Associated with a Spectral Family
pagenum: 356; label: 3
title: The Spectral Theorem
pagenum: 360; label: 4
title: Stability Theorems for the Spectral Family
pagenum: 361; label: Chapter Seven
title: Analytic Perturbation Theory; label: § 1
title: Analytic Families of Operators
pagenum: 365; label: 1
title: Analyticity of Vector- and Operator-Valued Functions
pagenum: 365; label: 2
title: Analyticity of a Family of Unbounded Operators
pagenum: 366; label: 3
title: Separation of the Spectrum and Finite Systems of Eigenvalues
pagenum: 368; label: 4
title: Remarks on Infinite Systems of Eigenvalues
pagenum: 371; label: 5
title: Perturbation Series
pagenum: 372; label: 6
title: A Holomorphic Family Related to a Degenerate Perturbation
pagenum: 373; label: § 2
title: Holomorphic Families of Type (A)
pagenum: 375; label: 1
title: Definition
pagenum: 375; label: 2
title: A Criterion for Type (A)
pagenum: 377; label: 3
title: Remarks on Holomorphic Families of Type (A)
pagenum: 379; label: 4
title: Convergence Radii and Error Estimates
pagenum: 381; label: 5
title: Normal Unperturbed Operators
pagenum: 383; label: § 3
title: Selfadjoint Holomorphic Families
pagenum: 385; label: 1
title: General Remarks
pagenum: 385; label: 2
title: Continuation of the Eigenvalues
pagenum: 387; label: 3
title: The Mathieu, Schrödinger, and Dirac Equations
pagenum: 389; label: 4
title: Growth Rate of the Eigenvalues
pagenum: 390; label: 5
title: Total Eigenvalues Considered Simultaneously
pagenum: 392; label: § 4
title: Holomorphic Families of Type (B)
pagenum: 393; label: 1
title: Bounded-Holomorphic Families of Sesquilinear Forms
pagenum: 393; label: 2
title: Holomorphic Families of Forms of Type (A) and Holomorphic Families of Operators of Type (B)
pagenum: 395; label: 3
title: A Criterion for Type (B)
pagenum: 398; label: 4
title: Holomorphic Families of Type (B₀)
pagenum: 401; label: 5
title: The Relationship Between Holomorphic Families of Types (A) and (B)
pagenum: 403; label: 6
title: Perturbation Series for Eigenvalues and Eigenprojections
pagenum: 404; label: 7
title: Growth Rate of Eigenvalues and the Total System of Eigenvalues
pagenum: 407; label: 8
title: Application to Differential Operators
pagenum: 408; label: 9
title: The Two-Electron Problem
pagenum: 410; label: § 5
title: Further Problems of Analytic Perturbation Theory
pagenum: 413; label: 1
title: Holomorphic Families of Type (C)
pagenum: 413; label: 2
title: Analytic Perturbation of the Spectral Family
pagenum: 414; label: 3
title: Analyticity of
pagenum: H(x); label: § 6
title: Eigenvalue Problems in the Generalized Form
pagenum: 416; label: 1
title: General Considerations
pagenum: 416; label: 2
title: Perturbation Theory
pagenum: 419; label: 3
title: Holomorphic Families of Type (A)
pagenum: 421; label: 4
title: Holomorphic Families of Type (B)
pagenum: 422; label: 5
title: Boundary Perturbation
pagenum: 423; label: Chapter Eight
title: Asymptotic Perturbation Theory; label: § 1
title: Strong Convergence in the Generalized Sense
pagenum: 427; label: 1
title: Strong Convergence of the Resolvent
pagenum: 427; label: 2
title: Generalized Strong Convergence and Spectra
pagenum: 431; label: 3
title: Perturbation of Eigenvalues and Eigenvectors
pagenum: 433; label: 4
title: Stable Eigenvalues
pagenum: 437; label: § 2
title: Asymptotic Expansions
pagenum: 441; label: 1
title: Asymptotic Expansion of the Resolvent
pagenum: 441; label: 2
title: Remarks on Asymptotic Expansions
pagenum: 444; label: 3
title: Asymptotic Expansions of Isolated Eigenvalues and Eigenvectors
pagenum: 445; label: 4
title: Further Asymptotic Expansions
pagenum: 448; label: § 3
title: Generalized Strong Convergence of Sectorial Operators
pagenum: 453; label: 1
title: Convergence of a Sequence of Bounded Forms
pagenum: 453; label: 2
title: Convergence of Sectorial Forms "From Above"
pagenum: 455; label: 3
title: Nonincreasing Sequences of Symmetric Forms
pagenum: 459; label: 4
title: Convergence from Below
pagenum: 461; label: 5
title: Spectra of Converging Operators
pagenum: 462; label: § 4
title: Asymptotic Expansions for Sectorial Operators
pagenum: 463; label: 1
title: The Problem. The Zeroth Approximation for the Resolvent
pagenum: 465; label: 2
title: The 1/2-Order Approximation for the Resolvent; label: 3
title: The First and Higher Order Approximations for the Resolvent
pagenum: 466; label: 4
title: Asymptotic Expansions for Eigenvalues and Eigenvectors
pagenum: 470; label: § 5
title: Spectral Concentration
pagenum: 473; label: 1
title: Unstable Eigenvalues
pagenum: 473; label: 2
title: Spectral Concentration
pagenum: 474; label: 3
title: Pseudo-Eigenvectors and Spectral Concentration
pagenum: 475; label: 4
title: Asymptotic Expansions
pagenum: 476; label: Chapter Nine
title: Perturbation Theory for Semigroups of Operators; label: § 1
title: One-Parameter Semigroups and Groups of Operators
pagenum: 479; label: 1
title: The Problem
pagenum: 479; label: 2
title: Definition of the Exponential Function
pagenum: 480; label: 3
title: Properties of the Exponential Function
pagenum: 482; label: 4
title: Bounded and Quasi-Bounded Semigroups
pagenum: 486; label: 5
title: Solution of the Inhomogeneous Differential Equation
pagenum: 488; label: 6
title: Holomorphic Semigroups
pagenum: 489; label: 7
title: The Inhomogeneous Differential Equation for a Holomorphic Semigroup
pagenum: 493; label: § 2
title: Perturbation of Semigroups
pagenum: 497; label: 1
title: Analytic Perturbation of Quasi-Bounded Semigroups
pagenum: 499; label: 2
title: Analytic Perturbation of Holomorphic Semigroups
pagenum: 501; label: 3
title: Perturbation of Contraction Semigroups
pagenum: 502; label: 4
title: Convergence of Quasi-Bounded Semigroups in a Restricted Sense
pagenum: 503; label: 5
title: Strong Convergence of Quasi-Bounded Semigroups
pagenum: 506; label: 6
title: Asymptotic Perturbation of Semigroups
pagenum: 509; label: § 3
title: Approximation by Discrete Semigroups
pagenum: 509; label: 1
title: Discrete Semigroups
pagenum: 511; label: 2
title: Approximation of a Continuous Semigroup by Discrete Semigroups
pagenum: 513; label: 3
title: Approximation Theorems
pagenum: 514; label: 4
title: Variation of the Space
pagenum: 514; label: Chapter Ten
title: Perturbation of Continuous Spectra and Unitary Equivalence; label: § 1
title: The Continuous Spectrum of a Selfadjoint Operator
pagenum: 516; label: 1
title: The Point and Continuous Spectra
pagenum: 516; label: 2
title: The Absolutely Continuous and Singular Spectra
pagenum: 518; label: 3
title: The Trace Class
pagenum: 521; label: 4
title: The Trace and Determinant
pagenum: 523; label: § 2
title: Perturbation of Continuous Spectra
pagenum: 525; label: 1
title: A Theorem of Weyl-Von Neumann
pagenum: 525; label: 2
title: A Generalization
pagenum: 527; label: § 3
title: Wave Operators and the Stability of Absolutely Continuous Spectra
pagenum: 529; label: 1
title: Introduction
pagenum: 529; label: 2
title: Generalized Wave Operators
pagenum: 531; label: 3
title: A Sufficient Condition for the Existence of the Wave Operator
pagenum: 535; label: 4
title: An Application to Potential Scattering
pagenum: 536; label: § 4
title: Existence and Completeness of Wave Operators
pagenum: 537; label: 1
title: Perturbations of Rank One (Special Case)
pagenum: 537; label: 2
title: Perturbations of Rank One (General Case)
pagenum: 540; label: 3
title: Perturbations of the Trace Class
pagenum: 542; label: 4
title: Wave Operators for Functions of Operators
pagenum: 545; label: 5
title: Strengthening of the Existence Theorems
pagenum: 549; label: 6
title: Dependence of W+ (H₂, H₁) on H₁ and H₂
pagenum: 553; label: § 5
title: A Stationary Method
pagenum: 553; label: 1
title: Introduction
pagenum: 553; label: 2
title: The I Operations
pagenum: 555; label: 3
title: Equivalence with the Time-Dependent Theory
pagenum: 557; label: 4
title: The I Operations on Degenerate Operators
pagenum: 558; label: 5
title: Solution of the Integral Equation for Rank A = 1
pagenum: 560; label: 6
title: Solution of the Integral Equation for a Degenerate A
pagenum: 563; label: 7
title: Application to Differential Operators
pagenum: 565; title: Supplementary Notes; label: Chapter I
pagenum: 568; label: Chapter II
pagenum: 568; label: Chapter III
pagenum: 569; label: Chapter IV
pagenum: 570; label: Chapter V
pagenum: 570; label: Chapter VI
pagenum: 573; label: Chapter VII
pagenum: 574; label: Chapter VIII
pagenum: 574; label: Chapter IX
pagenum: 575; label: Chapter X
pagenum: 576; title: Bibliography
pagenum: 583; title: Articles
pagenum: 583; title: Books and Monographs
pagenum: 593; title: Supplementary Bibliography
pagenum: 596; title: Articles
pagenum: 596; title: Notation Index
pagenum: 606; title: Author Index
pagenum: 608; title: Subject Index
pagenum: 612