La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 47-XX Operator theory
- 47-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 47-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 47-02 Research exposition (monographs, survey articles)
- 47-03 Historical (must also be assigned at least one classification number from Section 01)
- 47-04 Explicit machine computation and programs (not the theory of computation or programming)
- 47-06 Proceedings, conferences, collections, etc.
- 47-99 Operator theory (not classified at a more specific level)
- 47Axx General theory of linear operators
- 47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
- 47A06 Linear relations (multivalued linear operators) [Nouveau code MSC 2000]
- 47A07 Forms (bilinear, sesquilinear, multilinear) [Nouveau code MSC 2000]
- 47A10 Spectrum, resolvent
- 47A11 Local spectral properties
- 47A12 Numerical range, numerical radius
- 47A13 Several-variable operator theory (spectral, Fredholm, etc.)
- 47A15 Invariant subspaces
- 47A16 Cyclic and hypercyclic vectors [Nouveau code MSC 2000]
- 47A20 Dilations, extensions, compressions
- 47A25 Spectral sets
- 47A30 Norms (inequalities, more than one norm, etc.)
- 47A35 Ergodic theory [See also 28Dxx, 37Axx]
- 47A40 Scattering theory [See also 34L25, 35P25, 81Uxx]
- 47A45 Canonical models for contractions and nonselfadjoint operators
- 47A46 Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. [Nouveau code MSC 2000]
- 47A48 Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc.
- 47A50 Equations and inequalities involving linear operators, with vector unknowns
- 47A52 Ill-posed problems, regularization [Nouveau code MSC 2000]
- 47A53 (Semi-) Fredholm operators; index theories [See also 58B15, 58J20]
- 47A55 Perturbation theory
- 47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
- 47A57 Operator methods in interpolation, moment and extension problems [See also 30E05, 42A70, 42A82, 44A60]
- 47A58 Operator approximation theory
- 47A60 Functional calculus
- 47A62 Equations involving linear operators, with operator unknowns
- 47A63 Operator inequalities [Nouveau code MSC 2000]
- 47A64 Operator means, shorted operators, etc. [Nouveau code MSC 2000]
- 47A65 Structure theory
- 47A66 Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal operators
- 47A67 Representation theory
- 47A68 Factorization theory (including Wiener-Hopf and spectral factorizations)
- 47A70 (Generalized) eigenfunction expansions; rigged Hilbert spaces
- 47A75 Eigenvalue problems [See also 49R50]
- 47A80 Tensor products of operators [See also 46M05]
- 47A99 None of the above, but in this section
- 47Bxx Special classes of linear operators
- 47Cxx Individual linear operators as elements of algebraic systems
- 47Dxx Groups and semigroups of linear operators, their generalizations and applications
- 47E05 Ordinary differential operators [See also 34Bxx, 34Lxx]
- 47F05 Partial differential operators [See also 35Pxx, 58Jxx]
- 47Gxx Integral, integro-differential, and pseudodifferential operators [See also 58Jxx]
- 47Hxx Nonlinear operators and their properties [For global and geometric aspects, see 58-XX, especially 58Cxx]
- 47Jxx Equations and inequalities involving nonlinear operators [See also 46Txx] [For global and geometric aspects, see 58-XX]
- 47Lxx Linear spaces and algebras of operators [See also 46Lxx]
- 47Nxx Miscellaneous applications of operator theory [See also 46Nxx]
- 47Sxx Other (nonclassical) types of operator theory [See also 46Sxx]
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