Mathematical Sciences Classification System

46Bxx - Normed linear spaces and Banach spaces; Banach lattices
{For function spaces, see 46Exx}

  • 7
    46B03
    Isomorphic theory (including renorming) of Banach spaces
  • 4
    46B04
    Isometric theory of Banach spaces
  • 3
    46B06
    Asymptotic theory of Banach spaces [See also 52A23]
  • 2
    46B07
    Local theory of Banach spaces
  • 1
    46B08
    Ultraproduct techniques in Banach space theory [See also 46M07]
  • 11
    46B09
    Probabilistic methods in Banach space theory [See also 60Bxx]
  • 3
    46B10
    Duality and reflexivity [See also 46A25]
  • 13
    46B15
    Summability and bases [See also 46A35]
  • 30
    46B20
    Geometry and structure of normed linear spaces
  • 2
    46B22
    Radon-Nikodým, Kreĭn-Milman and related properties [See also 46G10]
  • 46B25
    Classical Banach spaces in the general theory
  • 2
    46B26
    Nonseparable Banach spaces
  • 5
    46B28
    Spaces of operators; tensor products; approximation properties [See also 46A32, 46M05, 47L05, 47L20]
  • 7
    46B40
    Ordered normed spaces [See also 46A40, 46B42]
  • 7
    46B42
    Banach lattices [See also 46A40, 46B40]
  • 3
    46B45
    Banach sequence spaces [See also 46A45]
  • 2
    46B50
    Compactness in Banach (or normed) spaces
  • 21
    46B70
    Interpolation between normed linear spaces [See also 46M35]
  • 46B80
    Nonlinear classification of Banach spaces; nonlinear quotients
  • 3
    46B85
    Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science [See also 05C12, 68Rxx]
  • 1
    46B99
    None of the above, but in this section

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