La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]
- 46-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 46-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 46-02 Research exposition (monographs, survey articles)
- 46-03 Historical (must also be assigned at least one classification number from Section 01)
- 46-04 Explicit machine computation and programs (not the theory of computation or programming)
- 46-06 Proceedings, conferences, collections, etc.
- 46-99 Functional analysis (not classified at a more specific level)
- 46Axx Topological linear spaces and related structures [For function spaces, see 46Exx]
- 46Bxx Normed linear spaces and Banach spaces; Banach lattices [For function spaces, see 46Exx]
- 46Cxx Inner product spaces and their generalizations, Hilbert spaces [For function spaces, see 46Exx]
- 46Exx Linear function spaces and their duals [See also 30H05, 32A38, 46F05] [For function algebras, see 46J10]
- 46Fxx Distributions, generalized functions, distribution spaces [See also 46T30]
- 46Gxx Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) [See also 28-XX, 46Txx]
- 46Hxx Topological algebras, normed rings and algebras, Banach algebras [For group algebras, convolution algebras and measure algebras, see 43A10, 43A20]
- 46Jxx Commutative Banach algebras and commutative topological algebras [See also 46E25]
- 46Kxx Topological (rings and) algebras with an involution [See also 16W10]
- 46Lxx Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) [See also 22D25, 47Lxx]
- 46L05 General theory of C*-algebras
- 46L06 Tensor products of C*-algebras [Nouveau code MSC 2000]
- 46L07 Operator spaces and completely bounded maps [See also 47L25] [Nouveau code MSC 2000]
- 46L08 C*-modules [Nouveau code MSC 2000]
- 46L09 Free products of C*-algebras [Nouveau code MSC 2000]
- 46L10 General theory of von Neumann algebras
- 46L30 States
- 46L35 Classifications of C*-algebras, factors
- 46L37 Subfactors and their classification
- 46L40 Automorphisms
- 46L45 Decomposition theory for C*-algebras
- 46L51 Noncommutative measure and integration [Nouveau code MSC 2000]
- 46L52 Noncommutative function spaces [Nouveau code MSC 2000]
- 46L53 Noncommutative probability and statistics [Nouveau code MSC 2000]
- 46L54 Free probability and free operator algebras [Nouveau code MSC 2000]
- 46L55 Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
- 46L57 Derivations, dissipations and positive semigroups in C*-algebras
- 46L60 Applications of selfadjoint operator algebras to physics [See also 46N50, 46N55, 47L90, 81T05, 82B10, 82C10]
- 46L65 Quantizations, deformations [Nouveau code MSC 2000]
- 46L70 Nonassociative selfadjoint operator algebras [See also 46H70, 46K70]
- 46L80 K-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
- 46L85 Noncommutative topology [See also 58B32, 58B34, 58J22]
- 46L87 Noncommutative differential geometry [See also 58B32, 58B34, 58J22]
- 46L89 Other ``noncommutative'' mathematics based on C*-algebra theory [See also 58B32, 58B34, 58J22]
- 46L99 None of the above, but in this section
- 46Mxx Methods of category theory in functional analysis [See also 18-XX]
- 46Nxx Miscellaneous applications of functional analysis [See also 47Nxx]
- 46Sxx Other (nonclassical) types of functional analysis [See also 47Sxx]
- 46Txx Nonlinear functional analysis [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx]
Retour à la page Classification Mathématique par Matières (version 2000)