La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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]
  • 46B03 Isomorphic theory (including renorming) of Banach spaces
  • 46B04 Isometric theory of Banach spaces
  • 46B07 Local theory of Banach spaces
  • 46B08 Ultraproduct techniques in Banach space theory [See also 46M07]
  • 46B09 Probabilistic methods in Banach space theory [See also 60Bxx]
  • 46B10 Duality and reflexivity [See also 46A25]
  • 46B15 Summability and bases [See also 46A35]
  • 46B20 Geometry and structure of normed linear spaces
  • 46B22 Radon-Nikodym, Krein-Milman and related properties [See also 46G10]
  • 46B25 Classical Banach spaces in the general theory
  • 46B26 Nonseparable Banach spaces
  • 46B28 Spaces of operators; tensor products; approximation properties [See also 46A32, 46L06, 46M05, 47L05, 47L20]
  • 46B40 Ordered normed spaces [See also 46A40, 46B42]
  • 46B42 Banach lattices [See also 46A40, 46B40]
  • 46B45 Banach sequence spaces [See also 46A45]
  • 46B50 Compactness in Banach (or normed) spaces [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 46A50, 46B99
  • 46B70 Interpolation between normed linear spaces [See also 46M35]
  • 46B99 None of the above, but in this section
• 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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