Mathematical Sciences Classification System

46-XX - Functional analysis {For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx}

  • 4
    46-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 199
    46-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 6
    46-02
    Research exposition (monographs, survey articles)
  • 19
    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)
  • 218
    46-06
    Proceedings, conferences, collections, etc.
  • 16
    (+55)
    Topological linear spaces and related structures
    {For function spaces, see 46Exx}
  • 73
    (+123)
    Normed linear spaces and Banach spaces; Banach lattices
    {For function spaces, see 46Exx}
  • 24
    (+17)
    Inner product spaces and their generalizations, Hilbert spaces
    {For function spaces, see 46Exx}
  • 90
    (+267)
    Linear function spaces and their duals
    [See also 30H05, 32A38, 46F05]
    {For function algebras, see 46J10}
  • 66
    (+31)
    Distributions, generalized functions, distribution spaces
    [See also 46T30]
  • 20
    (+53)
    Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
    [See also 28-XX, 46Txx]
  • 41
    (+15)
    Topological algebras, normed rings and algebras, Banach algebras
    {For group algebras, convolution algebras and measure algebras, see 43A10, 43A20}
  • 16
    (+21)
    Commutative Banach algebras and commutative topological algebras
    [See also 46E25]
  • 6
    (+6)
    Topological (rings and) algebras with an involution
    [See also 16W10]
  • 127
    (+108)
    Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)
    [See also 22D25, 47Lxx]
  • 12
    (+20)
    Methods of category theory in functional analysis
    [See also 18-XX]
  • 10
    (+69)
    Miscellaneous applications of functional analysis
    [See also 47Nxx]
  • 3
    (+32)
    Other (nonclassical) types of functional analysis
    [See also 47Sxx]
  • 13
    (+13)
    Nonlinear functional analysis
    [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx]

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