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]
- 46A03 General theory of locally convex spaces
- 46A04 Locally convex Fréchet spaces and (DF)-spaces
- 46A08 Barrelled spaces, bornological spaces
- 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
- 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) [See also 46M40]
- 46A16 Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.)
- 46A17 Bornologies and related structures; Mackey convergence, etc.
- 46A19 Other ``topological'' linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than R, etc.)
- 46A20 Duality theory
- 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators [See also 46M10]
- 46A25 Reflexivity and semi-reflexivity [See also 46B10]
- 46A30 Open mapping and closed graph theorems; completeness (including B-, Br-completeness)
- 46A32 Spaces of linear operators; topological tensor products; approximation properties [See also 46B28, 46L06, 46M05, 47L05, 47L20]
- 46A35 Summability and bases [See also 46B15]
- 46A40 Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42]
- 46A45 Sequence spaces (including Köthe sequence spaces) [See also 46B45]
- 46A50 Compactness in topological linear spaces; angelic spaces, etc.
- 46A55 Convex sets in topological linear spaces; Choquet theory [See also 52A07]
- 46A61 Graded Fréchet spaces and tame operators [Nouveau code MSC 2000]
- 46A63 Topological invariants ((DN), (
), etc.) [Nouveau code MSC 2000]
- 46A70 Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
- 46A80 Modular spaces
- 46A99 None of the above, but in this section
- 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]
- 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]
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