La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour 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]
• 46Mxx Methods of category theory in functional analysis [See also 18-XX]
• 46Nxx Miscellaneous applications of functional analysis [See also 47Nxx]
  • 46N10 Applications in optimization, convex analysis, mathematical programming, economics
  • 46N20 Applications to differential and integral equations
  • 46N30 Applications in probability theory and statistics
  • 46N40 Applications in numerical analysis [See also 65Jxx]
  • 46N50 Applications in quantum physics
  • 46N55 Applications in statistical physics
  • 46N60 Applications in biology and other sciences
  • 46N99 None of the above, but in this section
• 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)