MSCMSC
- [+]00-XXGeneral
- [+]01XXXHistory and Foundations
- [+]06XXXAlgebra
- [-]26XXXAnalysis
- [+]5XXXXGeometry and Topology
- [+]60XXXProbability and Statistics
- [+]65-XXNumerical analysis
- [+]68-XXComputer science
- [+]7XXXXApplications
- [+]97-XXMathematics education
- [+]26-XXReal functions
- [+]28-XXMeasure and integration
- [+]30-XXFunctions of a complex variable
- [+]31-XXPotential theory
- [+]32-XXSeveral complex variables and analytic spaces
- [+]33-XXSpecial functions
- [+]34-XXOrdinary differential equations
- [+]35-XXPartial differential equations
- [+]37-XXDynamical systems and ergodic theory
- [+]39-XXDifference and functional equations
- [+]40-XXSequences, series, summability
- [+]41-XXApproximations and expansions
- [+]42-XXFourier analysis
- [+]43-XXAbstract harmonic analysis
- [+]44-XXIntegral transforms, operational calculus
- [+]45-XXIntegral equations
- [+]46-XXFunctional analysis
- [-]47-XXOperator theory
- [+]49-XXCalculus of variations and optimal control; optimization
- 47-XXAllgemeines und Nachschlagewerke
- 47-00General reference works (handbooks, dictionaries, bibliographies, etc.)
- 47-01Instructional exposition (textbooks, tutorial papers, etc.)
- 47-02Research exposition (monographs, survey articles)
- 47-03Historical
- 47-04Explicit machine computation and programs
- 47-06Proceedings, conferences, collections, etc.
- [-]47AXXGeneral theory of linear operators
- [+]47BXXSpecial classes of linear operators
- [+]47CXXIndividual linear operators as elements of algebraic systems
- [+]47DXXGroups and semigroups of linear operators, their generalizations and applications
- 47E05Ordinary differential operators
- 47F05Partial differential operators
- [+]47GXXIntegral, integro-differential, and pseudodifferential operators
- [+]47HXXNonlinear operators and their properties
- [+]47JXXEquations and inequalities involving nonlinear operators
- [+]47LXXLinear spaces and algebras of operators
- [+]47NXXMiscellaneous applications of operator theory
- [+]47SXXOther (nonclassical) types of operator theory
- 47AXXAllgemeines und Nachschlagewerke
- 47A05General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
- 47A06Linear relations (multivalued linear operators)
- 47A07Forms (bilinear, sesquilinear, multilinear)
- 47A10Spectrum, resolvent
- 47A11Local spectral properties
- 47A12Numerical range, numerical radius
- 47A13Several-variable operator theory (spectral, Fredholm, etc.)
- 47A15Invariant subspaces
- 47A16Cyclic and hypercyclic vectors
- 47A20Dilations, extensions, compressions
- 47A25Spectral sets
- 47A30Norms (inequalities, more than one norm, etc.)
- 47A35Ergodic theory
- 47A40Scattering theory
- 47A45Canonical models for contractions and nonselfadjoint operators
- 47A46Chains (nests) of projections or of invariant subspaces, integrals along chains, etc.
- 47A48Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc.
- 47A50Equations and inequalities involving linear operators, with vector unknowns
- 47A52Ill-posed problems, regularization
- 47A53(Semi-) Fredholm operators; index theories
- 47A55Perturbation theory
- 47A56Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
- 47A57Operator methods in interpolation, moment and extension problems
- 47A58Operator approximation theory
- 47A60Functional calculus
- 47A62Equations involving linear operators, with operator unknowns
- 47A63Operator inequalities
- 47A64Operator means, shorted operators, etc.
- 47A65Structure theory
- 47A66Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators
- 47A67Representation theory
- 47A68Factorization theory (including Wiener-Hopf and spectral factorizations)
- 47A70(Generalized) eigenfunction expansions; rigged Hilbert spaces
- 47A75Eigenvalue problems
- 47A80Tensor products of operators
- 47A99None of the above, but in this section
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