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
- 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]
- 47H04 Set-valued operators [See also 28B20, 54C60, 58C06]
- 47H05 Monotone operators (with respect to duality)
- 47H06 Accretive operators, dissipative operators, etc.
- 47H07 Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces
- 47H09 Nonexpansive mappings, and their generalizations (ultimately compact mappings, measures of noncompactness and condensing mappings, A-proper mappings, K-set contractions, etc.)
- 47H10 Fixed-point theorems [Sse also 54H25, 55M20, 58C30]
- 47H11 Degree theory [See also 55M25, 58C30]
- 47H14 Perturbations of nonlinear operators [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 47H15, 47H99
- 47H20 Semigroups of nonlinear operators
- 47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskij, Uryson, etc.) [See also 45Gxx, 45P05]
- 47H40 Random operators [See also 60H25]
- 47H50 Potential operators [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 47H15, 47H99
- 47H60 Multilinear and polynomial operators [See also 46G25] [Nouveau code MSC 2000]
- 47H99 None of the above, but in this section
- 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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