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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]
• 14
  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