##### La Classification Mathématique par matières 2000Mathematics subject Classification 2000
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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.)
• 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]
• 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]
• Code MSC1991 affilié : 47A63
• 47A64 Operator means, shorted operators, etc. [Nouveau code MSC 2000]
• Code MSC1991 affilié : 47A63
• 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