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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.)
• 206
  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)
• 222
  46-06
  Proceedings, conferences, collections, etc.
• 16
  (+59)
  46Axx
  Topological linear spaces and related structures
  {For function spaces, see 46Exx}
• 73
  (+128)
  46Bxx
  Normed linear spaces and Banach spaces; Banach lattices
  {For function spaces, see 46Exx}
• 26
  (+18)
  46Cxx
  Inner product spaces and their generalizations, Hilbert spaces
  {For function spaces, see 46Exx}
• 91
  (+281)
  46Exx
  Linear function spaces and their duals
  [See also 30H05, 32A38, 46F05]
  {For function algebras, see 46J10}
• 66
  (+32)
  46Fxx
  Distributions, generalized functions, distribution spaces
  [See also 46T30]
• 20
  (+54)
  46Gxx
  Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces)
  [See also 28-XX, 46Txx]
• 43
  (+15)
  46Hxx
  Topological algebras, normed rings and algebras, Banach algebras
  {For group algebras, convolution algebras and measure algebras, see 43A10, 43A20}
• 17
  (+22)
  46Jxx
  Commutative Banach algebras and commutative topological algebras
  [See also 46E25]
• 6
  (+6)
  46Kxx
  Topological (rings and) algebras with an involution
  [See also 16W10]
• 130
  (+111)
  46Lxx
  Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.)
  [See also 22D25, 47Lxx]
• 12
  (+21)
  46Mxx
  Methods of category theory in functional analysis
  [See also 18-XX]
• 10
  (+70)
  46Nxx
  Miscellaneous applications of functional analysis
  [See also 47Nxx]
• 3
  (+32)
  46Sxx
  Other (nonclassical) types of functional analysis
  [See also 47Sxx]
• 13
  (+14)
  46Txx
  Nonlinear functional analysis
  [See also 47Hxx, 47Jxx, 58Cxx, 58Dxx]